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Finding the Fourth Proportional to 1,744.82, 2,616.95 and 1,132.86

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Solution

The fourth proportional to 1,744.82, 2,616.95 and 1,132.86 is: 1,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.82 : 2,616.95 = 1,132.86 : x
  2. Step 2: Convert to fraction form
    1,744.82/2,616.95 = 1,132.86/x
  3. Step 3: Cross multiply
    1,744.82x = 2,616.95 × 1,132.86
  4. Step 4: Simplify right side
    1,744.82x = 2,964,640.81
  5. Step 5: Solve for x
    x = 2,964,640.81/1,744.82
  6. Step 6: Final answer
    x = 1,699.11

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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.