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Finding the Fourth Proportional to 2,845.45, 4,264.53 and 2,194.82

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Solution

The fourth proportional to 2,845.45, 4,264.53 and 2,194.82 is: 3,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.45 : 4,264.53 = 2,194.82 : x
  2. Step 2: Convert to fraction form
    2,845.45/4,264.53 = 2,194.82/x
  3. Step 3: Cross multiply
    2,845.45x = 4,264.53 × 2,194.82
  4. Step 4: Simplify right side
    2,845.45x = 9,359,875.73
  5. Step 5: Solve for x
    x = 9,359,875.73/2,845.45
  6. Step 6: Final answer
    x = 3,289.42

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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.