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Finding the Fourth Proportional to 2,966.30, 4,449.49 and 885.83

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Solution

The fourth proportional to 2,966.30, 4,449.49 and 885.83 is: 1,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.30 : 4,449.49 = 885.83 : x
  2. Step 2: Convert to fraction form
    2,966.30/4,449.49 = 885.83/x
  3. Step 3: Cross multiply
    2,966.30x = 4,449.49 × 885.83
  4. Step 4: Simplify right side
    2,966.30x = 3,941,500.06
  5. Step 5: Solve for x
    x = 3,941,500.06/2,966.30
  6. Step 6: Final answer
    x = 1,328.76

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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.