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Finding the Fourth Proportional to 2,712.87, 4,069.53 and 765.09

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Solution

The fourth proportional to 2,712.87, 4,069.53 and 765.09 is: 1,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.87 : 4,069.53 = 765.09 : x
  2. Step 2: Convert to fraction form
    2,712.87/4,069.53 = 765.09/x
  3. Step 3: Cross multiply
    2,712.87x = 4,069.53 × 765.09
  4. Step 4: Simplify right side
    2,712.87x = 3,113,556.71
  5. Step 5: Solve for x
    x = 3,113,556.71/2,712.87
  6. Step 6: Final answer
    x = 1,147.70

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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.