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Finding the Fourth Proportional to 1,776.32, 2,663.92 and 1,163.28

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Solution

The fourth proportional to 1,776.32, 2,663.92 and 1,163.28 is: 1,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.32 : 2,663.92 = 1,163.28 : x
  2. Step 2: Convert to fraction form
    1,776.32/2,663.92 = 1,163.28/x
  3. Step 3: Cross multiply
    1,776.32x = 2,663.92 × 1,163.28
  4. Step 4: Simplify right side
    1,776.32x = 3,098,884.86
  5. Step 5: Solve for x
    x = 3,098,884.86/1,776.32
  6. Step 6: Final answer
    x = 1,744.55

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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.