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Finding the Fourth Proportional to 2,252.53, 3,378.80 and 1,252.52

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Solution

The fourth proportional to 2,252.53, 3,378.80 and 1,252.52 is: 1,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.53 : 3,378.80 = 1,252.52 : x
  2. Step 2: Convert to fraction form
    2,252.53/3,378.80 = 1,252.52/x
  3. Step 3: Cross multiply
    2,252.53x = 3,378.80 × 1,252.52
  4. Step 4: Simplify right side
    2,252.53x = 4,231,991.42
  5. Step 5: Solve for x
    x = 4,231,991.42/2,252.53
  6. Step 6: Final answer
    x = 1,878.77

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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.