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Finding the Fourth Proportional to 2,720.32, 3,753.80 and 1,541.16

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Solution

The fourth proportional to 2,720.32, 3,753.80 and 1,541.16 is: 2,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.32 : 3,753.80 = 1,541.16 : x
  2. Step 2: Convert to fraction form
    2,720.32/3,753.80 = 1,541.16/x
  3. Step 3: Cross multiply
    2,720.32x = 3,753.80 × 1,541.16
  4. Step 4: Simplify right side
    2,720.32x = 5,785,206.41
  5. Step 5: Solve for x
    x = 5,785,206.41/2,720.32
  6. Step 6: Final answer
    x = 2,126.66

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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.