Home / 1,742.28-2,614.32-962.91

Finding the Fourth Proportional to 1,742.28, 2,614.32 and 962.91

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Solution

The fourth proportional to 1,742.28, 2,614.32 and 962.91 is: 1,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.28 : 2,614.32 = 962.91 : x
  2. Step 2: Convert to fraction form
    1,742.28/2,614.32 = 962.91/x
  3. Step 3: Cross multiply
    1,742.28x = 2,614.32 × 962.91
  4. Step 4: Simplify right side
    1,742.28x = 2,517,354.87
  5. Step 5: Solve for x
    x = 2,517,354.87/1,742.28
  6. Step 6: Final answer
    x = 1,444.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.