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Finding the Fourth Proportional to 2,553.12, 3,523.48 and 1,505.78

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Solution

The fourth proportional to 2,553.12, 3,523.48 and 1,505.78 is: 2,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.12 : 3,523.48 = 1,505.78 : x
  2. Step 2: Convert to fraction form
    2,553.12/3,523.48 = 1,505.78/x
  3. Step 3: Cross multiply
    2,553.12x = 3,523.48 × 1,505.78
  4. Step 4: Simplify right side
    2,553.12x = 5,305,585.71
  5. Step 5: Solve for x
    x = 5,305,585.71/2,553.12
  6. Step 6: Final answer
    x = 2,078.08

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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.