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Finding the Fourth Proportional to 2,182.68, 3,274.56 and 2,002.68

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Solution

The fourth proportional to 2,182.68, 3,274.56 and 2,002.68 is: 3,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.68 : 3,274.56 = 2,002.68 : x
  2. Step 2: Convert to fraction form
    2,182.68/3,274.56 = 2,002.68/x
  3. Step 3: Cross multiply
    2,182.68x = 3,274.56 × 2,002.68
  4. Step 4: Simplify right side
    2,182.68x = 6,557,895.82
  5. Step 5: Solve for x
    x = 6,557,895.82/2,182.68
  6. Step 6: Final answer
    x = 3,004.52

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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.