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Finding the Fourth Proportional to 2,091.74, 3,135.56 and 1,167.74

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Solution

The fourth proportional to 2,091.74, 3,135.56 and 1,167.74 is: 1,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.74 : 3,135.56 = 1,167.74 : x
  2. Step 2: Convert to fraction form
    2,091.74/3,135.56 = 1,167.74/x
  3. Step 3: Cross multiply
    2,091.74x = 3,135.56 × 1,167.74
  4. Step 4: Simplify right side
    2,091.74x = 3,661,497.32
  5. Step 5: Solve for x
    x = 3,661,497.32/2,091.74
  6. Step 6: Final answer
    x = 1,750.46

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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.