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Finding the Fourth Proportional to 2,505.12, 3,758.04 and 773.34

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Solution

The fourth proportional to 2,505.12, 3,758.04 and 773.34 is: 1,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.12 : 3,758.04 = 773.34 : x
  2. Step 2: Convert to fraction form
    2,505.12/3,758.04 = 773.34/x
  3. Step 3: Cross multiply
    2,505.12x = 3,758.04 × 773.34
  4. Step 4: Simplify right side
    2,505.12x = 2,906,242.65
  5. Step 5: Solve for x
    x = 2,906,242.65/2,505.12
  6. Step 6: Final answer
    x = 1,160.12

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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.