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Finding the Fourth Proportional to 3,494.79, 4,822.81 and 2,002.64

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Solution

The fourth proportional to 3,494.79, 4,822.81 and 2,002.64 is: 2,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.79 : 4,822.81 = 2,002.64 : x
  2. Step 2: Convert to fraction form
    3,494.79/4,822.81 = 2,002.64/x
  3. Step 3: Cross multiply
    3,494.79x = 4,822.81 × 2,002.64
  4. Step 4: Simplify right side
    3,494.79x = 9,658,323.10
  5. Step 5: Solve for x
    x = 9,658,323.10/3,494.79
  6. Step 6: Final answer
    x = 2,763.63

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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.