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Finding the Fourth Proportional to 2,496.60, 3,744.30 and 765.24

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Solution

The fourth proportional to 2,496.60, 3,744.30 and 765.24 is: 1,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.60 : 3,744.30 = 765.24 : x
  2. Step 2: Convert to fraction form
    2,496.60/3,744.30 = 765.24/x
  3. Step 3: Cross multiply
    2,496.60x = 3,744.30 × 765.24
  4. Step 4: Simplify right side
    2,496.60x = 2,865,288.13
  5. Step 5: Solve for x
    x = 2,865,288.13/2,496.60
  6. Step 6: Final answer
    x = 1,147.68

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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.