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Finding the Fourth Proportional to 1,725.69, 2,381.46 and 979.65

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Solution

The fourth proportional to 1,725.69, 2,381.46 and 979.65 is: 1,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.69 : 2,381.46 = 979.65 : x
  2. Step 2: Convert to fraction form
    1,725.69/2,381.46 = 979.65/x
  3. Step 3: Cross multiply
    1,725.69x = 2,381.46 × 979.65
  4. Step 4: Simplify right side
    1,725.69x = 2,332,997.29
  5. Step 5: Solve for x
    x = 2,332,997.29/1,725.69
  6. Step 6: Final answer
    x = 1,351.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.