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Finding the Fourth Proportional to 3,112.83, 4,291.76 and 1,991.76

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Solution

The fourth proportional to 3,112.83, 4,291.76 and 1,991.76 is: 2,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.83 : 4,291.76 = 1,991.76 : x
  2. Step 2: Convert to fraction form
    3,112.83/4,291.76 = 1,991.76/x
  3. Step 3: Cross multiply
    3,112.83x = 4,291.76 × 1,991.76
  4. Step 4: Simplify right side
    3,112.83x = 8,548,175.39
  5. Step 5: Solve for x
    x = 8,548,175.39/3,112.83
  6. Step 6: Final answer
    x = 2,746.11

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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.