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Finding the Fourth Proportional to 1,646.83, 2,470.92 and 721.91

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Solution

The fourth proportional to 1,646.83, 2,470.92 and 721.91 is: 1,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.83 : 2,470.92 = 721.91 : x
  2. Step 2: Convert to fraction form
    1,646.83/2,470.92 = 721.91/x
  3. Step 3: Cross multiply
    1,646.83x = 2,470.92 × 721.91
  4. Step 4: Simplify right side
    1,646.83x = 1,783,769.50
  5. Step 5: Solve for x
    x = 1,783,769.50/1,646.83
  6. Step 6: Final answer
    x = 1,083.16

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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.