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Finding the Fourth Proportional to 2,553.64, 3,523.14 and 1,505.48

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Solution

The fourth proportional to 2,553.64, 3,523.14 and 1,505.48 is: 2,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.64 : 3,523.14 = 1,505.48 : x
  2. Step 2: Convert to fraction form
    2,553.64/3,523.14 = 1,505.48/x
  3. Step 3: Cross multiply
    2,553.64x = 3,523.14 × 1,505.48
  4. Step 4: Simplify right side
    2,553.64x = 5,304,016.81
  5. Step 5: Solve for x
    x = 5,304,016.81/2,553.64
  6. Step 6: Final answer
    x = 2,077.04

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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.