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Finding the Fourth Proportional to 2,505.28, 3,758.08 and 966.24

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Solution

The fourth proportional to 2,505.28, 3,758.08 and 966.24 is: 1,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.28 : 3,758.08 = 966.24 : x
  2. Step 2: Convert to fraction form
    2,505.28/3,758.08 = 966.24/x
  3. Step 3: Cross multiply
    2,505.28x = 3,758.08 × 966.24
  4. Step 4: Simplify right side
    2,505.28x = 3,631,207.22
  5. Step 5: Solve for x
    x = 3,631,207.22/2,505.28
  6. Step 6: Final answer
    x = 1,449.42

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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.