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Finding the Fourth Proportional to 1,169.46, 1,744.32 and 1,101.78

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Solution

The fourth proportional to 1,169.46, 1,744.32 and 1,101.78 is: 1,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.46 : 1,744.32 = 1,101.78 : x
  2. Step 2: Convert to fraction form
    1,169.46/1,744.32 = 1,101.78/x
  3. Step 3: Cross multiply
    1,169.46x = 1,744.32 × 1,101.78
  4. Step 4: Simplify right side
    1,169.46x = 1,921,856.89
  5. Step 5: Solve for x
    x = 1,921,856.89/1,169.46
  6. Step 6: Final answer
    x = 1,643.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.