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Finding the Fourth Proportional to 1,167.11, 1,750.65 and 1,162.49

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Solution

The fourth proportional to 1,167.11, 1,750.65 and 1,162.49 is: 1,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.11 : 1,750.65 = 1,162.49 : x
  2. Step 2: Convert to fraction form
    1,167.11/1,750.65 = 1,162.49/x
  3. Step 3: Cross multiply
    1,167.11x = 1,750.65 × 1,162.49
  4. Step 4: Simplify right side
    1,167.11x = 2,035,104.37
  5. Step 5: Solve for x
    x = 2,035,104.37/1,167.11
  6. Step 6: Final answer
    x = 1,743.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.