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Finding the Fourth Proportional to 1,641.88, 2,265.80 and 979.03

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Solution

The fourth proportional to 1,641.88, 2,265.80 and 979.03 is: 1,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.88 : 2,265.80 = 979.03 : x
  2. Step 2: Convert to fraction form
    1,641.88/2,265.80 = 979.03/x
  3. Step 3: Cross multiply
    1,641.88x = 2,265.80 × 979.03
  4. Step 4: Simplify right side
    1,641.88x = 2,218,286.17
  5. Step 5: Solve for x
    x = 2,218,286.17/1,641.88
  6. Step 6: Final answer
    x = 1,351.06

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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.