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Finding the Fourth Proportional to 3,453.54, 4,765.92 and 1,881.66

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Solution

The fourth proportional to 3,453.54, 4,765.92 and 1,881.66 is: 2,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.54 : 4,765.92 = 1,881.66 : x
  2. Step 2: Convert to fraction form
    3,453.54/4,765.92 = 1,881.66/x
  3. Step 3: Cross multiply
    3,453.54x = 4,765.92 × 1,881.66
  4. Step 4: Simplify right side
    3,453.54x = 8,967,841.03
  5. Step 5: Solve for x
    x = 8,967,841.03/3,453.54
  6. Step 6: Final answer
    x = 2,596.71

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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.