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Finding the Fourth Proportional to 2,482.75, 3,426.20 and 1,378.75

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Solution

The fourth proportional to 2,482.75, 3,426.20 and 1,378.75 is: 1,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.75 : 3,426.20 = 1,378.75 : x
  2. Step 2: Convert to fraction form
    2,482.75/3,426.20 = 1,378.75/x
  3. Step 3: Cross multiply
    2,482.75x = 3,426.20 × 1,378.75
  4. Step 4: Simplify right side
    2,482.75x = 4,723,873.25
  5. Step 5: Solve for x
    x = 4,723,873.25/2,482.75
  6. Step 6: Final answer
    x = 1,902.68

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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.