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Finding the Fourth Proportional to 1,691.62, 2,334.39 and 945.58

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Solution

The fourth proportional to 1,691.62, 2,334.39 and 945.58 is: 1,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.62 : 2,334.39 = 945.58 : x
  2. Step 2: Convert to fraction form
    1,691.62/2,334.39 = 945.58/x
  3. Step 3: Cross multiply
    1,691.62x = 2,334.39 × 945.58
  4. Step 4: Simplify right side
    1,691.62x = 2,207,352.50
  5. Step 5: Solve for x
    x = 2,207,352.50/1,691.62
  6. Step 6: Final answer
    x = 1,304.87

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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.