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Finding the Fourth Proportional to 2,184.57, 3,277.26 and 886.95

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Solution

The fourth proportional to 2,184.57, 3,277.26 and 886.95 is: 1,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.57 : 3,277.26 = 886.95 : x
  2. Step 2: Convert to fraction form
    2,184.57/3,277.26 = 886.95/x
  3. Step 3: Cross multiply
    2,184.57x = 3,277.26 × 886.95
  4. Step 4: Simplify right side
    2,184.57x = 2,906,765.76
  5. Step 5: Solve for x
    x = 2,906,765.76/2,184.57
  6. Step 6: Final answer
    x = 1,330.59

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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.