Home / 1,588.20-2,381.94-766.92

Finding the Fourth Proportional to 1,588.20, 2,381.94 and 766.92

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Solution

The fourth proportional to 1,588.20, 2,381.94 and 766.92 is: 1,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.20 : 2,381.94 = 766.92 : x
  2. Step 2: Convert to fraction form
    1,588.20/2,381.94 = 766.92/x
  3. Step 3: Cross multiply
    1,588.20x = 2,381.94 × 766.92
  4. Step 4: Simplify right side
    1,588.20x = 1,826,757.42
  5. Step 5: Solve for x
    x = 1,826,757.42/1,588.20
  6. Step 6: Final answer
    x = 1,150.21

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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.