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Finding the Fourth Proportional to 2,660.75, 3,675.38 and 2,169.59

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Solution

The fourth proportional to 2,660.75, 3,675.38 and 2,169.59 is: 2,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.75 : 3,675.38 = 2,169.59 : x
  2. Step 2: Convert to fraction form
    2,660.75/3,675.38 = 2,169.59/x
  3. Step 3: Cross multiply
    2,660.75x = 3,675.38 × 2,169.59
  4. Step 4: Simplify right side
    2,660.75x = 7,974,038.47
  5. Step 5: Solve for x
    x = 7,974,038.47/2,660.75
  6. Step 6: Final answer
    x = 2,996.92

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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.