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Finding the Fourth Proportional to 3,122.54, 4,309.08 and 1,864.42

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Solution

The fourth proportional to 3,122.54, 4,309.08 and 1,864.42 is: 2,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.54 : 4,309.08 = 1,864.42 : x
  2. Step 2: Convert to fraction form
    3,122.54/4,309.08 = 1,864.42/x
  3. Step 3: Cross multiply
    3,122.54x = 4,309.08 × 1,864.42
  4. Step 4: Simplify right side
    3,122.54x = 8,033,934.93
  5. Step 5: Solve for x
    x = 8,033,934.93/3,122.54
  6. Step 6: Final answer
    x = 2,572.88

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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.