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Finding the Fourth Proportional to 2,706.72, 4,058.16 and 1,387.88

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Solution

The fourth proportional to 2,706.72, 4,058.16 and 1,387.88 is: 2,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.72 : 4,058.16 = 1,387.88 : x
  2. Step 2: Convert to fraction form
    2,706.72/4,058.16 = 1,387.88/x
  3. Step 3: Cross multiply
    2,706.72x = 4,058.16 × 1,387.88
  4. Step 4: Simplify right side
    2,706.72x = 5,632,239.10
  5. Step 5: Solve for x
    x = 5,632,239.10/2,706.72
  6. Step 6: Final answer
    x = 2,080.84

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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.