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Finding the Fourth Proportional to 1,161.90, 1,744.74 and 1,103.43

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Solution

The fourth proportional to 1,161.90, 1,744.74 and 1,103.43 is: 1,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.90 : 1,744.74 = 1,103.43 : x
  2. Step 2: Convert to fraction form
    1,161.90/1,744.74 = 1,103.43/x
  3. Step 3: Cross multiply
    1,161.90x = 1,744.74 × 1,103.43
  4. Step 4: Simplify right side
    1,161.90x = 1,925,198.46
  5. Step 5: Solve for x
    x = 1,925,198.46/1,161.90
  6. Step 6: Final answer
    x = 1,656.94

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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.