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Finding the Fourth Proportional to 2,719.92, 3,753.37 and 1,541

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Solution

The fourth proportional to 2,719.92, 3,753.37 and 1,541 is: 2,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.92 : 3,753.37 = 1,541 : x
  2. Step 2: Convert to fraction form
    2,719.92/3,753.37 = 1,541/x
  3. Step 3: Cross multiply
    2,719.92x = 3,753.37 × 1,541
  4. Step 4: Simplify right side
    2,719.92x = 5,783,943.17
  5. Step 5: Solve for x
    x = 5,783,943.17/2,719.92
  6. Step 6: Final answer
    x = 2,126.51

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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.