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Finding the Fourth Proportional to 2,167.56, 3,254.58 and 2,135.16

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Solution

The fourth proportional to 2,167.56, 3,254.58 and 2,135.16 is: 3,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.56 : 3,254.58 = 2,135.16 : x
  2. Step 2: Convert to fraction form
    2,167.56/3,254.58 = 2,135.16/x
  3. Step 3: Cross multiply
    2,167.56x = 3,254.58 × 2,135.16
  4. Step 4: Simplify right side
    2,167.56x = 6,949,049.03
  5. Step 5: Solve for x
    x = 6,949,049.03/2,167.56
  6. Step 6: Final answer
    x = 3,205.93

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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.