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Finding the Fourth Proportional to 1,227.69, 1,695.87 and 1,140.21

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Solution

The fourth proportional to 1,227.69, 1,695.87 and 1,140.21 is: 1,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.69 : 1,695.87 = 1,140.21 : x
  2. Step 2: Convert to fraction form
    1,227.69/1,695.87 = 1,140.21/x
  3. Step 3: Cross multiply
    1,227.69x = 1,695.87 × 1,140.21
  4. Step 4: Simplify right side
    1,227.69x = 1,933,647.93
  5. Step 5: Solve for x
    x = 1,933,647.93/1,227.69
  6. Step 6: Final answer
    x = 1,575.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.