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Finding the Fourth Proportional to 2,165.72, 3,251.25 and 2,056.77

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Solution

The fourth proportional to 2,165.72, 3,251.25 and 2,056.77 is: 3,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.72 : 3,251.25 = 2,056.77 : x
  2. Step 2: Convert to fraction form
    2,165.72/3,251.25 = 2,056.77/x
  3. Step 3: Cross multiply
    2,165.72x = 3,251.25 × 2,056.77
  4. Step 4: Simplify right side
    2,165.72x = 6,687,073.46
  5. Step 5: Solve for x
    x = 6,687,073.46/2,165.72
  6. Step 6: Final answer
    x = 3,087.70

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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.