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Finding the Fourth Proportional to 3,002.33, 4,143.56 and 1,824.05

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Solution

The fourth proportional to 3,002.33, 4,143.56 and 1,824.05 is: 2,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.33 : 4,143.56 = 1,824.05 : x
  2. Step 2: Convert to fraction form
    3,002.33/4,143.56 = 1,824.05/x
  3. Step 3: Cross multiply
    3,002.33x = 4,143.56 × 1,824.05
  4. Step 4: Simplify right side
    3,002.33x = 7,558,061.86
  5. Step 5: Solve for x
    x = 7,558,061.86/3,002.33
  6. Step 6: Final answer
    x = 2,517.40

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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.