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Finding the Fourth Proportional to 3,122.14, 4,308.54 and 1,724.90

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Solution

The fourth proportional to 3,122.14, 4,308.54 and 1,724.90 is: 2,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.14 : 4,308.54 = 1,724.90 : x
  2. Step 2: Convert to fraction form
    3,122.14/4,308.54 = 1,724.90/x
  3. Step 3: Cross multiply
    3,122.14x = 4,308.54 × 1,724.90
  4. Step 4: Simplify right side
    3,122.14x = 7,431,800.65
  5. Step 5: Solve for x
    x = 7,431,800.65/3,122.14
  6. Step 6: Final answer
    x = 2,380.35

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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.