Home / 1,426.28-2,138.10-731.42

Finding the Fourth Proportional to 1,426.28, 2,138.10 and 731.42

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Solution

The fourth proportional to 1,426.28, 2,138.10 and 731.42 is: 1,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.28 : 2,138.10 = 731.42 : x
  2. Step 2: Convert to fraction form
    1,426.28/2,138.10 = 731.42/x
  3. Step 3: Cross multiply
    1,426.28x = 2,138.10 × 731.42
  4. Step 4: Simplify right side
    1,426.28x = 1,563,849.10
  5. Step 5: Solve for x
    x = 1,563,849.10/1,426.28
  6. Step 6: Final answer
    x = 1,096.45

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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.