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Finding the Fourth Proportional to 1,724.90, 2,380.59 and 979.16

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Solution

The fourth proportional to 1,724.90, 2,380.59 and 979.16 is: 1,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.90 : 2,380.59 = 979.16 : x
  2. Step 2: Convert to fraction form
    1,724.90/2,380.59 = 979.16/x
  3. Step 3: Cross multiply
    1,724.90x = 2,380.59 × 979.16
  4. Step 4: Simplify right side
    1,724.90x = 2,330,966.60
  5. Step 5: Solve for x
    x = 2,330,966.60/1,724.90
  6. Step 6: Final answer
    x = 1,351.37

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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.