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Finding the Fourth Proportional to 2,634.23, 3,951.35 and 686.44

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Solution

The fourth proportional to 2,634.23, 3,951.35 and 686.44 is: 1,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.23 : 3,951.35 = 686.44 : x
  2. Step 2: Convert to fraction form
    2,634.23/3,951.35 = 686.44/x
  3. Step 3: Cross multiply
    2,634.23x = 3,951.35 × 686.44
  4. Step 4: Simplify right side
    2,634.23x = 2,712,356.53
  5. Step 5: Solve for x
    x = 2,712,356.53/2,634.23
  6. Step 6: Final answer
    x = 1,029.66

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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.