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Finding the Fourth Proportional to 2,505.12, 3,757.84 and 839.18

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Solution

The fourth proportional to 2,505.12, 3,757.84 and 839.18 is: 1,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.12 : 3,757.84 = 839.18 : x
  2. Step 2: Convert to fraction form
    2,505.12/3,757.84 = 839.18/x
  3. Step 3: Cross multiply
    2,505.12x = 3,757.84 × 839.18
  4. Step 4: Simplify right side
    2,505.12x = 3,153,504.17
  5. Step 5: Solve for x
    x = 3,153,504.17/2,505.12
  6. Step 6: Final answer
    x = 1,258.82

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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.