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Finding the Fourth Proportional to 1,765.38, 2,436.26 and 979.42

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Solution

The fourth proportional to 1,765.38, 2,436.26 and 979.42 is: 1,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.38 : 2,436.26 = 979.42 : x
  2. Step 2: Convert to fraction form
    1,765.38/2,436.26 = 979.42/x
  3. Step 3: Cross multiply
    1,765.38x = 2,436.26 × 979.42
  4. Step 4: Simplify right side
    1,765.38x = 2,386,121.77
  5. Step 5: Solve for x
    x = 2,386,121.77/1,765.38
  6. Step 6: Final answer
    x = 1,351.62

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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.