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Finding the Fourth Proportional to 1,691.57, 2,534.46 and 1,520.38

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Solution

The fourth proportional to 1,691.57, 2,534.46 and 1,520.38 is: 2,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.57 : 2,534.46 = 1,520.38 : x
  2. Step 2: Convert to fraction form
    1,691.57/2,534.46 = 1,520.38/x
  3. Step 3: Cross multiply
    1,691.57x = 2,534.46 × 1,520.38
  4. Step 4: Simplify right side
    1,691.57x = 3,853,325.51
  5. Step 5: Solve for x
    x = 3,853,325.51/1,691.57
  6. Step 6: Final answer
    x = 2,277.95

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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.