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Finding the Fourth Proportional to 2,712.66, 4,069.23 and 764.88

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Solution

The fourth proportional to 2,712.66, 4,069.23 and 764.88 is: 1,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.66 : 4,069.23 = 764.88 : x
  2. Step 2: Convert to fraction form
    2,712.66/4,069.23 = 764.88/x
  3. Step 3: Cross multiply
    2,712.66x = 4,069.23 × 764.88
  4. Step 4: Simplify right side
    2,712.66x = 3,112,472.64
  5. Step 5: Solve for x
    x = 3,112,472.64/2,712.66
  6. Step 6: Final answer
    x = 1,147.39

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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.