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Finding the Fourth Proportional to 2,966.33, 4,449.03 and 886.25

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Solution

The fourth proportional to 2,966.33, 4,449.03 and 886.25 is: 1,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.33 : 4,449.03 = 886.25 : x
  2. Step 2: Convert to fraction form
    2,966.33/4,449.03 = 886.25/x
  3. Step 3: Cross multiply
    2,966.33x = 4,449.03 × 886.25
  4. Step 4: Simplify right side
    2,966.33x = 3,942,930.59
  5. Step 5: Solve for x
    x = 3,942,930.59/2,966.33
  6. Step 6: Final answer
    x = 1,329.23

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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.