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Finding the Fourth Proportional to 2,424, 3,633.76 and 862.93

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Solution

The fourth proportional to 2,424, 3,633.76 and 862.93 is: 1,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424 : 3,633.76 = 862.93 : x
  2. Step 2: Convert to fraction form
    2,424/3,633.76 = 862.93/x
  3. Step 3: Cross multiply
    2,424x = 3,633.76 × 862.93
  4. Step 4: Simplify right side
    2,424x = 3,135,680.52
  5. Step 5: Solve for x
    x = 3,135,680.52/2,424
  6. Step 6: Final answer
    x = 1,293.60

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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.