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Finding the Fourth Proportional to 1,646.61, 2,467.81 and 721.92

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Solution

The fourth proportional to 1,646.61, 2,467.81 and 721.92 is: 1,081.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.61 : 2,467.81 = 721.92 : x
  2. Step 2: Convert to fraction form
    1,646.61/2,467.81 = 721.92/x
  3. Step 3: Cross multiply
    1,646.61x = 2,467.81 × 721.92
  4. Step 4: Simplify right side
    1,646.61x = 1,781,561.40
  5. Step 5: Solve for x
    x = 1,781,561.40/1,646.61
  6. Step 6: Final answer
    x = 1,081.96

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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.