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Finding the Fourth Proportional to 2,422.08, 3,631.68 and 881.28

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Solution

The fourth proportional to 2,422.08, 3,631.68 and 881.28 is: 1,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.08 : 3,631.68 = 881.28 : x
  2. Step 2: Convert to fraction form
    2,422.08/3,631.68 = 881.28/x
  3. Step 3: Cross multiply
    2,422.08x = 3,631.68 × 881.28
  4. Step 4: Simplify right side
    2,422.08x = 3,200,526.95
  5. Step 5: Solve for x
    x = 3,200,526.95/2,422.08
  6. Step 6: Final answer
    x = 1,321.40

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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.