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Finding the Fourth Proportional to 2,270.82, 3,404.10 and 885.05

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Solution

The fourth proportional to 2,270.82, 3,404.10 and 885.05 is: 1,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.82 : 3,404.10 = 885.05 : x
  2. Step 2: Convert to fraction form
    2,270.82/3,404.10 = 885.05/x
  3. Step 3: Cross multiply
    2,270.82x = 3,404.10 × 885.05
  4. Step 4: Simplify right side
    2,270.82x = 3,012,781.68
  5. Step 5: Solve for x
    x = 3,012,781.68/2,270.82
  6. Step 6: Final answer
    x = 1,326.74

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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.