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Finding the Fourth Proportional to 1,691.41, 2,528.79 and 1,434.31

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Solution

The fourth proportional to 1,691.41, 2,528.79 and 1,434.31 is: 2,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.41 : 2,528.79 = 1,434.31 : x
  2. Step 2: Convert to fraction form
    1,691.41/2,528.79 = 1,434.31/x
  3. Step 3: Cross multiply
    1,691.41x = 2,528.79 × 1,434.31
  4. Step 4: Simplify right side
    1,691.41x = 3,627,068.78
  5. Step 5: Solve for x
    x = 3,627,068.78/1,691.41
  6. Step 6: Final answer
    x = 2,144.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.