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Finding the Fourth Proportional to 2,456.12, 3,684.06 and 917

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Solution

The fourth proportional to 2,456.12, 3,684.06 and 917 is: 1,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.12 : 3,684.06 = 917 : x
  2. Step 2: Convert to fraction form
    2,456.12/3,684.06 = 917/x
  3. Step 3: Cross multiply
    2,456.12x = 3,684.06 × 917
  4. Step 4: Simplify right side
    2,456.12x = 3,378,283.02
  5. Step 5: Solve for x
    x = 3,378,283.02/2,456.12
  6. Step 6: Final answer
    x = 1,375.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.