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Finding the Fourth Proportional to 2,170.68, 2,993.60 and 1,838.76

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Solution

The fourth proportional to 2,170.68, 2,993.60 and 1,838.76 is: 2,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.68 : 2,993.60 = 1,838.76 : x
  2. Step 2: Convert to fraction form
    2,170.68/2,993.60 = 1,838.76/x
  3. Step 3: Cross multiply
    2,170.68x = 2,993.60 × 1,838.76
  4. Step 4: Simplify right side
    2,170.68x = 5,504,511.94
  5. Step 5: Solve for x
    x = 5,504,511.94/2,170.68
  6. Step 6: Final answer
    x = 2,535.85

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Half scale
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Double scale
Find fourth proportional to 2,171.68, 2,994.98 and 1,839.76
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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.