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Finding the Fourth Proportional to 3,453.59, 4,766.63 and 1,961.57

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Solution

The fourth proportional to 3,453.59, 4,766.63 and 1,961.57 is: 2,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.59 : 4,766.63 = 1,961.57 : x
  2. Step 2: Convert to fraction form
    3,453.59/4,766.63 = 1,961.57/x
  3. Step 3: Cross multiply
    3,453.59x = 4,766.63 × 1,961.57
  4. Step 4: Simplify right side
    3,453.59x = 9,350,044.77
  5. Step 5: Solve for x
    x = 9,350,044.77/3,453.59
  6. Step 6: Final answer
    x = 2,707.34

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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.