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Finding the Fourth Proportional to 2,552.97, 3,523.50 and 1,434.36

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Solution

The fourth proportional to 2,552.97, 3,523.50 and 1,434.36 is: 1,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.97 : 3,523.50 = 1,434.36 : x
  2. Step 2: Convert to fraction form
    2,552.97/3,523.50 = 1,434.36/x
  3. Step 3: Cross multiply
    2,552.97x = 3,523.50 × 1,434.36
  4. Step 4: Simplify right side
    2,552.97x = 5,053,967.46
  5. Step 5: Solve for x
    x = 5,053,967.46/2,552.97
  6. Step 6: Final answer
    x = 1,979.64

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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.