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Finding the Fourth Proportional to 2,706.53, 4,058.12 and 1,061.15

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Solution

The fourth proportional to 2,706.53, 4,058.12 and 1,061.15 is: 1,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.53 : 4,058.12 = 1,061.15 : x
  2. Step 2: Convert to fraction form
    2,706.53/4,058.12 = 1,061.15/x
  3. Step 3: Cross multiply
    2,706.53x = 4,058.12 × 1,061.15
  4. Step 4: Simplify right side
    2,706.53x = 4,306,248.44
  5. Step 5: Solve for x
    x = 4,306,248.44/2,706.53
  6. Step 6: Final answer
    x = 1,591.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.