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Finding the Fourth Proportional to 1,721.10, 2,581.66 and 422.58

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Solution

The fourth proportional to 1,721.10, 2,581.66 and 422.58 is: 633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.10 : 2,581.66 = 422.58 : x
  2. Step 2: Convert to fraction form
    1,721.10/2,581.66 = 422.58/x
  3. Step 3: Cross multiply
    1,721.10x = 2,581.66 × 422.58
  4. Step 4: Simplify right side
    1,721.10x = 1,090,957.88
  5. Step 5: Solve for x
    x = 1,090,957.88/1,721.10
  6. Step 6: Final answer
    x = 633.87

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