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Finding the Fourth Proportional to 2,283, 3,150.54 and 1,235.06

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Solution

The fourth proportional to 2,283, 3,150.54 and 1,235.06 is: 1,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283 : 3,150.54 = 1,235.06 : x
  2. Step 2: Convert to fraction form
    2,283/3,150.54 = 1,235.06/x
  3. Step 3: Cross multiply
    2,283x = 3,150.54 × 1,235.06
  4. Step 4: Simplify right side
    2,283x = 3,891,113.81
  5. Step 5: Solve for x
    x = 3,891,113.81/2,283
  6. Step 6: Final answer
    x = 1,704.39

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Half scale
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Double scale
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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.