Home / 2,330.16-3,494.50-769.82

Finding the Fourth Proportional to 2,330.16, 3,494.50 and 769.82

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Solution

The fourth proportional to 2,330.16, 3,494.50 and 769.82 is: 1,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.16 : 3,494.50 = 769.82 : x
  2. Step 2: Convert to fraction form
    2,330.16/3,494.50 = 769.82/x
  3. Step 3: Cross multiply
    2,330.16x = 3,494.50 × 769.82
  4. Step 4: Simplify right side
    2,330.16x = 2,690,135.99
  5. Step 5: Solve for x
    x = 2,690,135.99/2,330.16
  6. Step 6: Final answer
    x = 1,154.49

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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.