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Finding the Fourth Proportional to 2,282.88, 3,422.16 and 1,242.72

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Solution

The fourth proportional to 2,282.88, 3,422.16 and 1,242.72 is: 1,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.88 : 3,422.16 = 1,242.72 : x
  2. Step 2: Convert to fraction form
    2,282.88/3,422.16 = 1,242.72/x
  3. Step 3: Cross multiply
    2,282.88x = 3,422.16 × 1,242.72
  4. Step 4: Simplify right side
    2,282.88x = 4,252,786.68
  5. Step 5: Solve for x
    x = 4,252,786.68/2,282.88
  6. Step 6: Final answer
    x = 1,862.90

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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.