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Finding the Fourth Proportional to 3,107.63, 4,288.47 and 1,691.30

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Solution

The fourth proportional to 3,107.63, 4,288.47 and 1,691.30 is: 2,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.63 : 4,288.47 = 1,691.30 : x
  2. Step 2: Convert to fraction form
    3,107.63/4,288.47 = 1,691.30/x
  3. Step 3: Cross multiply
    3,107.63x = 4,288.47 × 1,691.30
  4. Step 4: Simplify right side
    3,107.63x = 7,253,061.53
  5. Step 5: Solve for x
    x = 7,253,061.53/3,107.63
  6. Step 6: Final answer
    x = 2,333.95

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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.