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Finding the Fourth Proportional to 2,308.88, 3,463.34 and 769.88

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Solution

The fourth proportional to 2,308.88, 3,463.34 and 769.88 is: 1,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.88 : 3,463.34 = 769.88 : x
  2. Step 2: Convert to fraction form
    2,308.88/3,463.34 = 769.88/x
  3. Step 3: Cross multiply
    2,308.88x = 3,463.34 × 769.88
  4. Step 4: Simplify right side
    2,308.88x = 2,666,340.81
  5. Step 5: Solve for x
    x = 2,666,340.81/2,308.88
  6. Step 6: Final answer
    x = 1,154.82

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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.