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Finding the Fourth Proportional to 2,284.62, 3,152.79 and 1,340.97

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Solution

The fourth proportional to 2,284.62, 3,152.79 and 1,340.97 is: 1,850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.62 : 3,152.79 = 1,340.97 : x
  2. Step 2: Convert to fraction form
    2,284.62/3,152.79 = 1,340.97/x
  3. Step 3: Cross multiply
    2,284.62x = 3,152.79 × 1,340.97
  4. Step 4: Simplify right side
    2,284.62x = 4,227,796.81
  5. Step 5: Solve for x
    x = 4,227,796.81/2,284.62
  6. Step 6: Final answer
    x = 1,850.55

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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.