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Finding the Fourth Proportional to 1,721.31, 2,581.62 and 488.35

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Solution

The fourth proportional to 1,721.31, 2,581.62 and 488.35 is: 732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.31 : 2,581.62 = 488.35 : x
  2. Step 2: Convert to fraction form
    1,721.31/2,581.62 = 488.35/x
  3. Step 3: Cross multiply
    1,721.31x = 2,581.62 × 488.35
  4. Step 4: Simplify right side
    1,721.31x = 1,260,734.13
  5. Step 5: Solve for x
    x = 1,260,734.13/1,721.31
  6. Step 6: Final answer
    x = 732.43

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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.