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Finding the Fourth Proportional to 2,626.16, 3,939.26 and 1,164.92

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Solution

The fourth proportional to 2,626.16, 3,939.26 and 1,164.92 is: 1,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.16 : 3,939.26 = 1,164.92 : x
  2. Step 2: Convert to fraction form
    2,626.16/3,939.26 = 1,164.92/x
  3. Step 3: Cross multiply
    2,626.16x = 3,939.26 × 1,164.92
  4. Step 4: Simplify right side
    2,626.16x = 4,588,922.76
  5. Step 5: Solve for x
    x = 4,588,922.76/2,626.16
  6. Step 6: Final answer
    x = 1,747.39

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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.