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Finding the Fourth Proportional to 2,156.69, 3,227.13 and 1,765.73

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Solution

The fourth proportional to 2,156.69, 3,227.13 and 1,765.73 is: 2,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.69 : 3,227.13 = 1,765.73 : x
  2. Step 2: Convert to fraction form
    2,156.69/3,227.13 = 1,765.73/x
  3. Step 3: Cross multiply
    2,156.69x = 3,227.13 × 1,765.73
  4. Step 4: Simplify right side
    2,156.69x = 5,698,240.25
  5. Step 5: Solve for x
    x = 5,698,240.25/2,156.69
  6. Step 6: Final answer
    x = 2,642.12

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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.