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Finding the Fourth Proportional to 2,407.24, 3,611.04 and 763.82

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Solution

The fourth proportional to 2,407.24, 3,611.04 and 763.82 is: 1,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.24 : 3,611.04 = 763.82 : x
  2. Step 2: Convert to fraction form
    2,407.24/3,611.04 = 763.82/x
  3. Step 3: Cross multiply
    2,407.24x = 3,611.04 × 763.82
  4. Step 4: Simplify right side
    2,407.24x = 2,758,184.57
  5. Step 5: Solve for x
    x = 2,758,184.57/2,407.24
  6. Step 6: Final answer
    x = 1,145.79

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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.