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Finding the Fourth Proportional to 2,966.18, 4,449.11 and 886.20

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Solution

The fourth proportional to 2,966.18, 4,449.11 and 886.20 is: 1,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.18 : 4,449.11 = 886.20 : x
  2. Step 2: Convert to fraction form
    2,966.18/4,449.11 = 886.20/x
  3. Step 3: Cross multiply
    2,966.18x = 4,449.11 × 886.20
  4. Step 4: Simplify right side
    2,966.18x = 3,942,796.85
  5. Step 5: Solve for x
    x = 3,942,796.85/2,966.18
  6. Step 6: Final answer
    x = 1,329.25

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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.