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Finding the Fourth Proportional to 3,187.45, 4,781.63 and 1,542.65

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Solution

The fourth proportional to 3,187.45, 4,781.63 and 1,542.65 is: 2,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.45 : 4,781.63 = 1,542.65 : x
  2. Step 2: Convert to fraction form
    3,187.45/4,781.63 = 1,542.65/x
  3. Step 3: Cross multiply
    3,187.45x = 4,781.63 × 1,542.65
  4. Step 4: Simplify right side
    3,187.45x = 7,376,361.47
  5. Step 5: Solve for x
    x = 7,376,361.47/3,187.45
  6. Step 6: Final answer
    x = 2,314.19

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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.