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Finding the Fourth Proportional to 2,167.56, 3,254.57 and 2,091.96

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Solution

The fourth proportional to 2,167.56, 3,254.57 and 2,091.96 is: 3,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.56 : 3,254.57 = 2,091.96 : x
  2. Step 2: Convert to fraction form
    2,167.56/3,254.57 = 2,091.96/x
  3. Step 3: Cross multiply
    2,167.56x = 3,254.57 × 2,091.96
  4. Step 4: Simplify right side
    2,167.56x = 6,808,430.26
  5. Step 5: Solve for x
    x = 6,808,430.26/2,167.56
  6. Step 6: Final answer
    x = 3,141.06

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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.