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Finding the Fourth Proportional to 2,714.74, 3,754.23 and 2,665.55

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Solution

The fourth proportional to 2,714.74, 3,754.23 and 2,665.55 is: 3,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.74 : 3,754.23 = 2,665.55 : x
  2. Step 2: Convert to fraction form
    2,714.74/3,754.23 = 2,665.55/x
  3. Step 3: Cross multiply
    2,714.74x = 3,754.23 × 2,665.55
  4. Step 4: Simplify right side
    2,714.74x = 10,007,087.78
  5. Step 5: Solve for x
    x = 10,007,087.78/2,714.74
  6. Step 6: Final answer
    x = 3,686.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.