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Finding the Fourth Proportional to 2,658.29, 3,987.43 and 1,562.04

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Solution

The fourth proportional to 2,658.29, 3,987.43 and 1,562.04 is: 2,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.29 : 3,987.43 = 1,562.04 : x
  2. Step 2: Convert to fraction form
    2,658.29/3,987.43 = 1,562.04/x
  3. Step 3: Cross multiply
    2,658.29x = 3,987.43 × 1,562.04
  4. Step 4: Simplify right side
    2,658.29x = 6,228,521.25
  5. Step 5: Solve for x
    x = 6,228,521.25/2,658.29
  6. Step 6: Final answer
    x = 2,343.06

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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.