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Finding the Fourth Proportional to 2,483.57, 3,724.14 and 1,387.64

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Solution

The fourth proportional to 2,483.57, 3,724.14 and 1,387.64 is: 2,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.57 : 3,724.14 = 1,387.64 : x
  2. Step 2: Convert to fraction form
    2,483.57/3,724.14 = 1,387.64/x
  3. Step 3: Cross multiply
    2,483.57x = 3,724.14 × 1,387.64
  4. Step 4: Simplify right side
    2,483.57x = 5,167,780.14
  5. Step 5: Solve for x
    x = 5,167,780.14/2,483.57
  6. Step 6: Final answer
    x = 2,080.78

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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.