Home / 1,542.18-2,310.81-963.84

Finding the Fourth Proportional to 1,542.18, 2,310.81 and 963.84

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Solution

The fourth proportional to 1,542.18, 2,310.81 and 963.84 is: 1,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.18 : 2,310.81 = 963.84 : x
  2. Step 2: Convert to fraction form
    1,542.18/2,310.81 = 963.84/x
  3. Step 3: Cross multiply
    1,542.18x = 2,310.81 × 963.84
  4. Step 4: Simplify right side
    1,542.18x = 2,227,251.11
  5. Step 5: Solve for x
    x = 2,227,251.11/1,542.18
  6. Step 6: Final answer
    x = 1,444.22

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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.