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Finding the Fourth Proportional to 3,002.64, 4,143.64 and 1,744.42

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Solution

The fourth proportional to 3,002.64, 4,143.64 and 1,744.42 is: 2,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.64 : 4,143.64 = 1,744.42 : x
  2. Step 2: Convert to fraction form
    3,002.64/4,143.64 = 1,744.42/x
  3. Step 3: Cross multiply
    3,002.64x = 4,143.64 × 1,744.42
  4. Step 4: Simplify right side
    3,002.64x = 7,228,248.49
  5. Step 5: Solve for x
    x = 7,228,248.49/3,002.64
  6. Step 6: Final answer
    x = 2,407.30

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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.