Home / 2,423.10-3,633.62-921.14

Finding the Fourth Proportional to 2,423.10, 3,633.62 and 921.14

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Solution

The fourth proportional to 2,423.10, 3,633.62 and 921.14 is: 1,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.10 : 3,633.62 = 921.14 : x
  2. Step 2: Convert to fraction form
    2,423.10/3,633.62 = 921.14/x
  3. Step 3: Cross multiply
    2,423.10x = 3,633.62 × 921.14
  4. Step 4: Simplify right side
    2,423.10x = 3,347,049.95
  5. Step 5: Solve for x
    x = 3,347,049.95/2,423.10
  6. Step 6: Final answer
    x = 1,381.31

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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.