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Finding the Fourth Proportional to 2,462.75, 3,695.20 and 1,002.95

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Solution

The fourth proportional to 2,462.75, 3,695.20 and 1,002.95 is: 1,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.75 : 3,695.20 = 1,002.95 : x
  2. Step 2: Convert to fraction form
    2,462.75/3,695.20 = 1,002.95/x
  3. Step 3: Cross multiply
    2,462.75x = 3,695.20 × 1,002.95
  4. Step 4: Simplify right side
    2,462.75x = 3,706,079.86
  5. Step 5: Solve for x
    x = 3,706,079.86/2,462.75
  6. Step 6: Final answer
    x = 1,504.86

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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.