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Finding the Fourth Proportional to 2,705.55, 4,058.25 and 731.18

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Solution

The fourth proportional to 2,705.55, 4,058.25 and 731.18 is: 1,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.55 : 4,058.25 = 731.18 : x
  2. Step 2: Convert to fraction form
    2,705.55/4,058.25 = 731.18/x
  3. Step 3: Cross multiply
    2,705.55x = 4,058.25 × 731.18
  4. Step 4: Simplify right side
    2,705.55x = 2,967,290.94
  5. Step 5: Solve for x
    x = 2,967,290.94/2,705.55
  6. Step 6: Final answer
    x = 1,096.74

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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.