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Finding the Fourth Proportional to 2,296.95, 3,447.86 and 2,180.31

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Solution

The fourth proportional to 2,296.95, 3,447.86 and 2,180.31 is: 3,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.95 : 3,447.86 = 2,180.31 : x
  2. Step 2: Convert to fraction form
    2,296.95/3,447.86 = 2,180.31/x
  3. Step 3: Cross multiply
    2,296.95x = 3,447.86 × 2,180.31
  4. Step 4: Simplify right side
    2,296.95x = 7,517,392.74
  5. Step 5: Solve for x
    x = 7,517,392.74/2,296.95
  6. Step 6: Final answer
    x = 3,272.77

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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.