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Finding the Fourth Proportional to 2,553.64, 3,524.11 and 1,434.55

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Solution

The fourth proportional to 2,553.64, 3,524.11 and 1,434.55 is: 1,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.64 : 3,524.11 = 1,434.55 : x
  2. Step 2: Convert to fraction form
    2,553.64/3,524.11 = 1,434.55/x
  3. Step 3: Cross multiply
    2,553.64x = 3,524.11 × 1,434.55
  4. Step 4: Simplify right side
    2,553.64x = 5,055,531.17
  5. Step 5: Solve for x
    x = 5,055,531.17/2,553.64
  6. Step 6: Final answer
    x = 1,979.74

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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.