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Finding the Fourth Proportional to 2,553.42, 3,523.29 and 1,434.33

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Solution

The fourth proportional to 2,553.42, 3,523.29 and 1,434.33 is: 1,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.42 : 3,523.29 = 1,434.33 : x
  2. Step 2: Convert to fraction form
    2,553.42/3,523.29 = 1,434.33/x
  3. Step 3: Cross multiply
    2,553.42x = 3,523.29 × 1,434.33
  4. Step 4: Simplify right side
    2,553.42x = 5,053,560.55
  5. Step 5: Solve for x
    x = 5,053,560.55/2,553.42
  6. Step 6: Final answer
    x = 1,979.13

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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.