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Finding the Fourth Proportional to 2,227.80, 3,338.10 and 1,404.60

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Solution

The fourth proportional to 2,227.80, 3,338.10 and 1,404.60 is: 2,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.80 : 3,338.10 = 1,404.60 : x
  2. Step 2: Convert to fraction form
    2,227.80/3,338.10 = 1,404.60/x
  3. Step 3: Cross multiply
    2,227.80x = 3,338.10 × 1,404.60
  4. Step 4: Simplify right side
    2,227.80x = 4,688,695.26
  5. Step 5: Solve for x
    x = 4,688,695.26/2,227.80
  6. Step 6: Final answer
    x = 2,104.63

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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.