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Finding the Fourth Proportional to 2,422.80, 3,633.12 and 691.02

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Solution

The fourth proportional to 2,422.80, 3,633.12 and 691.02 is: 1,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.80 : 3,633.12 = 691.02 : x
  2. Step 2: Convert to fraction form
    2,422.80/3,633.12 = 691.02/x
  3. Step 3: Cross multiply
    2,422.80x = 3,633.12 × 691.02
  4. Step 4: Simplify right side
    2,422.80x = 2,510,558.58
  5. Step 5: Solve for x
    x = 2,510,558.58/2,422.80
  6. Step 6: Final answer
    x = 1,036.22

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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.