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Finding the Fourth Proportional to 3,114.11, 4,672.17 and 1,864.51

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Solution

The fourth proportional to 3,114.11, 4,672.17 and 1,864.51 is: 2,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.11 : 4,672.17 = 1,864.51 : x
  2. Step 2: Convert to fraction form
    3,114.11/4,672.17 = 1,864.51/x
  3. Step 3: Cross multiply
    3,114.11x = 4,672.17 × 1,864.51
  4. Step 4: Simplify right side
    3,114.11x = 8,711,320.52
  5. Step 5: Solve for x
    x = 8,711,320.52/3,114.11
  6. Step 6: Final answer
    x = 2,797.37

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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.