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Finding the Fourth Proportional to 2,468.27, 3,701.85 and 712.88

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Solution

The fourth proportional to 2,468.27, 3,701.85 and 712.88 is: 1,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.27 : 3,701.85 = 712.88 : x
  2. Step 2: Convert to fraction form
    2,468.27/3,701.85 = 712.88/x
  3. Step 3: Cross multiply
    2,468.27x = 3,701.85 × 712.88
  4. Step 4: Simplify right side
    2,468.27x = 2,638,974.83
  5. Step 5: Solve for x
    x = 2,638,974.83/2,468.27
  6. Step 6: Final answer
    x = 1,069.16

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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.