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Finding the Fourth Proportional to 1,454.72, 2,006.13 and 957.14

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Solution

The fourth proportional to 1,454.72, 2,006.13 and 957.14 is: 1,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.72 : 2,006.13 = 957.14 : x
  2. Step 2: Convert to fraction form
    1,454.72/2,006.13 = 957.14/x
  3. Step 3: Cross multiply
    1,454.72x = 2,006.13 × 957.14
  4. Step 4: Simplify right side
    1,454.72x = 1,920,147.27
  5. Step 5: Solve for x
    x = 1,920,147.27/1,454.72
  6. Step 6: Final answer
    x = 1,319.94

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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.