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Finding the Fourth Proportional to 3,453.87, 4,766.32 and 1,881.96

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Solution

The fourth proportional to 3,453.87, 4,766.32 and 1,881.96 is: 2,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.87 : 4,766.32 = 1,881.96 : x
  2. Step 2: Convert to fraction form
    3,453.87/4,766.32 = 1,881.96/x
  3. Step 3: Cross multiply
    3,453.87x = 4,766.32 × 1,881.96
  4. Step 4: Simplify right side
    3,453.87x = 8,970,023.59
  5. Step 5: Solve for x
    x = 8,970,023.59/3,453.87
  6. Step 6: Final answer
    x = 2,597.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.