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Finding the Fourth Proportional to 1,614.81, 2,422.25 and 519.19

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Solution

The fourth proportional to 1,614.81, 2,422.25 and 519.19 is: 778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.81 : 2,422.25 = 519.19 : x
  2. Step 2: Convert to fraction form
    1,614.81/2,422.25 = 519.19/x
  3. Step 3: Cross multiply
    1,614.81x = 2,422.25 × 519.19
  4. Step 4: Simplify right side
    1,614.81x = 1,257,599.81
  5. Step 5: Solve for x
    x = 1,257,599.81/1,614.81
  6. Step 6: Final answer
    x = 778.79

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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.