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Finding the Fourth Proportional to 2,732.40, 3,772.80 and 2,101.95

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Solution

The fourth proportional to 2,732.40, 3,772.80 and 2,101.95 is: 2,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.40 : 3,772.80 = 2,101.95 : x
  2. Step 2: Convert to fraction form
    2,732.40/3,772.80 = 2,101.95/x
  3. Step 3: Cross multiply
    2,732.40x = 3,772.80 × 2,101.95
  4. Step 4: Simplify right side
    2,732.40x = 7,930,236.96
  5. Step 5: Solve for x
    x = 7,930,236.96/2,732.40
  6. Step 6: Final answer
    x = 2,902.30

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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.