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Finding the Fourth Proportional to 2,409.19, 3,614.82 and 765.87

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Solution

The fourth proportional to 2,409.19, 3,614.82 and 765.87 is: 1,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.19 : 3,614.82 = 765.87 : x
  2. Step 2: Convert to fraction form
    2,409.19/3,614.82 = 765.87/x
  3. Step 3: Cross multiply
    2,409.19x = 3,614.82 × 765.87
  4. Step 4: Simplify right side
    2,409.19x = 2,768,482.19
  5. Step 5: Solve for x
    x = 2,768,482.19/2,409.19
  6. Step 6: Final answer
    x = 1,149.13

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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.