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Finding the Fourth Proportional to 1,375.66, 2,064.17 and 1,194.33

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Solution

The fourth proportional to 1,375.66, 2,064.17 and 1,194.33 is: 1,792.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.66 : 2,064.17 = 1,194.33 : x
  2. Step 2: Convert to fraction form
    1,375.66/2,064.17 = 1,194.33/x
  3. Step 3: Cross multiply
    1,375.66x = 2,064.17 × 1,194.33
  4. Step 4: Simplify right side
    1,375.66x = 2,465,303.14
  5. Step 5: Solve for x
    x = 2,465,303.14/1,375.66
  6. Step 6: Final answer
    x = 1,792.09

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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.