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Finding the Fourth Proportional to 1,863.20, 2,572.08 and 1,422.92

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Solution

The fourth proportional to 1,863.20, 2,572.08 and 1,422.92 is: 1,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.20 : 2,572.08 = 1,422.92 : x
  2. Step 2: Convert to fraction form
    1,863.20/2,572.08 = 1,422.92/x
  3. Step 3: Cross multiply
    1,863.20x = 2,572.08 × 1,422.92
  4. Step 4: Simplify right side
    1,863.20x = 3,659,864.07
  5. Step 5: Solve for x
    x = 3,659,864.07/1,863.20
  6. Step 6: Final answer
    x = 1,964.29

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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.