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Finding the Fourth Proportional to 1,646.97, 2,470.76 and 607.24

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Solution

The fourth proportional to 1,646.97, 2,470.76 and 607.24 is: 910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.97 : 2,470.76 = 607.24 : x
  2. Step 2: Convert to fraction form
    1,646.97/2,470.76 = 607.24/x
  3. Step 3: Cross multiply
    1,646.97x = 2,470.76 × 607.24
  4. Step 4: Simplify right side
    1,646.97x = 1,500,344.30
  5. Step 5: Solve for x
    x = 1,500,344.30/1,646.97
  6. Step 6: Final answer
    x = 910.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.