Home / 2,123.20-3,184.85-738.13

Finding the Fourth Proportional to 2,123.20, 3,184.85 and 738.13

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Solution

The fourth proportional to 2,123.20, 3,184.85 and 738.13 is: 1,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.20 : 3,184.85 = 738.13 : x
  2. Step 2: Convert to fraction form
    2,123.20/3,184.85 = 738.13/x
  3. Step 3: Cross multiply
    2,123.20x = 3,184.85 × 738.13
  4. Step 4: Simplify right side
    2,123.20x = 2,350,833.33
  5. Step 5: Solve for x
    x = 2,350,833.33/2,123.20
  6. Step 6: Final answer
    x = 1,107.21

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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.