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Finding the Fourth Proportional to 2,252.53, 3,108.87 and 1,468.84

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Solution

The fourth proportional to 2,252.53, 3,108.87 and 1,468.84 is: 2,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.53 : 3,108.87 = 1,468.84 : x
  2. Step 2: Convert to fraction form
    2,252.53/3,108.87 = 1,468.84/x
  3. Step 3: Cross multiply
    2,252.53x = 3,108.87 × 1,468.84
  4. Step 4: Simplify right side
    2,252.53x = 4,566,432.61
  5. Step 5: Solve for x
    x = 4,566,432.61/2,252.53
  6. Step 6: Final answer
    x = 2,027.25

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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.