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Finding the Fourth Proportional to 2,754.91, 4,132.87 and 906.55

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Solution

The fourth proportional to 2,754.91, 4,132.87 and 906.55 is: 1,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.91 : 4,132.87 = 906.55 : x
  2. Step 2: Convert to fraction form
    2,754.91/4,132.87 = 906.55/x
  3. Step 3: Cross multiply
    2,754.91x = 4,132.87 × 906.55
  4. Step 4: Simplify right side
    2,754.91x = 3,746,653.30
  5. Step 5: Solve for x
    x = 3,746,653.30/2,754.91
  6. Step 6: Final answer
    x = 1,359.99

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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.