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Finding the Fourth Proportional to 1,289.26, 1,934.16 and 1,168.30

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Solution

The fourth proportional to 1,289.26, 1,934.16 and 1,168.30 is: 1,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.26 : 1,934.16 = 1,168.30 : x
  2. Step 2: Convert to fraction form
    1,289.26/1,934.16 = 1,168.30/x
  3. Step 3: Cross multiply
    1,289.26x = 1,934.16 × 1,168.30
  4. Step 4: Simplify right side
    1,289.26x = 2,259,679.13
  5. Step 5: Solve for x
    x = 2,259,679.13/1,289.26
  6. Step 6: Final answer
    x = 1,752.69

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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.