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Finding the Fourth Proportional to 3,182.77, 4,394.80 and 1,989.14

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Solution

The fourth proportional to 3,182.77, 4,394.80 and 1,989.14 is: 2,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.77 : 4,394.80 = 1,989.14 : x
  2. Step 2: Convert to fraction form
    3,182.77/4,394.80 = 1,989.14/x
  3. Step 3: Cross multiply
    3,182.77x = 4,394.80 × 1,989.14
  4. Step 4: Simplify right side
    3,182.77x = 8,741,862.53
  5. Step 5: Solve for x
    x = 8,741,862.53/3,182.77
  6. Step 6: Final answer
    x = 2,746.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.