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Finding the Fourth Proportional to 3,494.62, 4,822.62 and 2,002.60

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Solution

The fourth proportional to 3,494.62, 4,822.62 and 2,002.60 is: 2,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.62 : 4,822.62 = 2,002.60 : x
  2. Step 2: Convert to fraction form
    3,494.62/4,822.62 = 2,002.60/x
  3. Step 3: Cross multiply
    3,494.62x = 4,822.62 × 2,002.60
  4. Step 4: Simplify right side
    3,494.62x = 9,657,778.81
  5. Step 5: Solve for x
    x = 9,657,778.81/3,494.62
  6. Step 6: Final answer
    x = 2,763.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.