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Finding the Fourth Proportional to 2,439.74, 3,657.17 and 1,343.00

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Solution

The fourth proportional to 2,439.74, 3,657.17 and 1,343.00 is: 2,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.74 : 3,657.17 = 1,343.00 : x
  2. Step 2: Convert to fraction form
    2,439.74/3,657.17 = 1,343.00/x
  3. Step 3: Cross multiply
    2,439.74x = 3,657.17 × 1,343.00
  4. Step 4: Simplify right side
    2,439.74x = 4,911,554.31
  5. Step 5: Solve for x
    x = 4,911,554.31/2,439.74
  6. Step 6: Final answer
    x = 2,013.15

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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.