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Finding the Fourth Proportional to 2,553.74, 3,524.14 and 1,434.69

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Solution

The fourth proportional to 2,553.74, 3,524.14 and 1,434.69 is: 1,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.74 : 3,524.14 = 1,434.69 : x
  2. Step 2: Convert to fraction form
    2,553.74/3,524.14 = 1,434.69/x
  3. Step 3: Cross multiply
    2,553.74x = 3,524.14 × 1,434.69
  4. Step 4: Simplify right side
    2,553.74x = 5,056,048.42
  5. Step 5: Solve for x
    x = 5,056,048.42/2,553.74
  6. Step 6: Final answer
    x = 1,979.86

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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.