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Finding the Fourth Proportional to 2,409.13, 3,613.56 and 765.24

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Solution

The fourth proportional to 2,409.13, 3,613.56 and 765.24 is: 1,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.13 : 3,613.56 = 765.24 : x
  2. Step 2: Convert to fraction form
    2,409.13/3,613.56 = 765.24/x
  3. Step 3: Cross multiply
    2,409.13x = 3,613.56 × 765.24
  4. Step 4: Simplify right side
    2,409.13x = 2,765,240.65
  5. Step 5: Solve for x
    x = 2,765,240.65/2,409.13
  6. Step 6: Final answer
    x = 1,147.82

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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.