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Finding the Fourth Proportional to 1,652.56, 2,280.59 and 906.55

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Solution

The fourth proportional to 1,652.56, 2,280.59 and 906.55 is: 1,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.56 : 2,280.59 = 906.55 : x
  2. Step 2: Convert to fraction form
    1,652.56/2,280.59 = 906.55/x
  3. Step 3: Cross multiply
    1,652.56x = 2,280.59 × 906.55
  4. Step 4: Simplify right side
    1,652.56x = 2,067,468.86
  5. Step 5: Solve for x
    x = 2,067,468.86/1,652.56
  6. Step 6: Final answer
    x = 1,251.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.