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Finding the Fourth Proportional to 1,494.66, 2,239.87 and 1,169.65

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Solution

The fourth proportional to 1,494.66, 2,239.87 and 1,169.65 is: 1,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.66 : 2,239.87 = 1,169.65 : x
  2. Step 2: Convert to fraction form
    1,494.66/2,239.87 = 1,169.65/x
  3. Step 3: Cross multiply
    1,494.66x = 2,239.87 × 1,169.65
  4. Step 4: Simplify right side
    1,494.66x = 2,619,863.95
  5. Step 5: Solve for x
    x = 2,619,863.95/1,494.66
  6. Step 6: Final answer
    x = 1,752.82

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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.