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Finding the Fourth Proportional to 1,725.25, 2,380.92 and 979.21

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Solution

The fourth proportional to 1,725.25, 2,380.92 and 979.21 is: 1,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.25 : 2,380.92 = 979.21 : x
  2. Step 2: Convert to fraction form
    1,725.25/2,380.92 = 979.21/x
  3. Step 3: Cross multiply
    1,725.25x = 2,380.92 × 979.21
  4. Step 4: Simplify right side
    1,725.25x = 2,331,420.67
  5. Step 5: Solve for x
    x = 2,331,420.67/1,725.25
  6. Step 6: Final answer
    x = 1,351.35

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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.