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Finding the Fourth Proportional to 3,453.74, 4,766.14 and 1,881.83

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Solution

The fourth proportional to 3,453.74, 4,766.14 and 1,881.83 is: 2,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.74 : 4,766.14 = 1,881.83 : x
  2. Step 2: Convert to fraction form
    3,453.74/4,766.14 = 1,881.83/x
  3. Step 3: Cross multiply
    3,453.74x = 4,766.14 × 1,881.83
  4. Step 4: Simplify right side
    3,453.74x = 8,969,079.50
  5. Step 5: Solve for x
    x = 8,969,079.50/3,453.74
  6. Step 6: Final answer
    x = 2,596.92

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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.