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Finding the Fourth Proportional to 1,638.26, 2,456.86 and 713.55

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Solution

The fourth proportional to 1,638.26, 2,456.86 and 713.55 is: 1,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.26 : 2,456.86 = 713.55 : x
  2. Step 2: Convert to fraction form
    1,638.26/2,456.86 = 713.55/x
  3. Step 3: Cross multiply
    1,638.26x = 2,456.86 × 713.55
  4. Step 4: Simplify right side
    1,638.26x = 1,753,081.46
  5. Step 5: Solve for x
    x = 1,753,081.46/1,638.26
  6. Step 6: Final answer
    x = 1,070.09

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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.