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Finding the Fourth Proportional to 3,453.97, 4,768.10 and 2,037.22

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Solution

The fourth proportional to 3,453.97, 4,768.10 and 2,037.22 is: 2,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.97 : 4,768.10 = 2,037.22 : x
  2. Step 2: Convert to fraction form
    3,453.97/4,768.10 = 2,037.22/x
  3. Step 3: Cross multiply
    3,453.97x = 4,768.10 × 2,037.22
  4. Step 4: Simplify right side
    3,453.97x = 9,713,668.68
  5. Step 5: Solve for x
    x = 9,713,668.68/3,453.97
  6. Step 6: Final answer
    x = 2,812.32

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Half scale
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Double scale
Find fourth proportional to 3,454.97, 4,769.48 and 2,038.22
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.