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Finding the Fourth Proportional to 2,456.75, 3,394.17 and 2,087.60

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Solution

The fourth proportional to 2,456.75, 3,394.17 and 2,087.60 is: 2,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.75 : 3,394.17 = 2,087.60 : x
  2. Step 2: Convert to fraction form
    2,456.75/3,394.17 = 2,087.60/x
  3. Step 3: Cross multiply
    2,456.75x = 3,394.17 × 2,087.60
  4. Step 4: Simplify right side
    2,456.75x = 7,085,652.32
  5. Step 5: Solve for x
    x = 7,085,652.32/2,456.75
  6. Step 6: Final answer
    x = 2,884.15

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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.