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Finding the Fourth Proportional to 3,109.80, 4,292.94 and 1,991.16

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Solution

The fourth proportional to 3,109.80, 4,292.94 and 1,991.16 is: 2,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.80 : 4,292.94 = 1,991.16 : x
  2. Step 2: Convert to fraction form
    3,109.80/4,292.94 = 1,991.16/x
  3. Step 3: Cross multiply
    3,109.80x = 4,292.94 × 1,991.16
  4. Step 4: Simplify right side
    3,109.80x = 8,547,930.41
  5. Step 5: Solve for x
    x = 8,547,930.41/3,109.80
  6. Step 6: Final answer
    x = 2,748.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.