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Finding the Fourth Proportional to 3,187.74, 4,781.56 and 1,544.43

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Solution

The fourth proportional to 3,187.74, 4,781.56 and 1,544.43 is: 2,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.74 : 4,781.56 = 1,544.43 : x
  2. Step 2: Convert to fraction form
    3,187.74/4,781.56 = 1,544.43/x
  3. Step 3: Cross multiply
    3,187.74x = 4,781.56 × 1,544.43
  4. Step 4: Simplify right side
    3,187.74x = 7,384,784.71
  5. Step 5: Solve for x
    x = 7,384,784.71/3,187.74
  6. Step 6: Final answer
    x = 2,316.62

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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.