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Finding the Fourth Proportional to 2,165.67, 3,248.51 and 1,705.91

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Solution

The fourth proportional to 2,165.67, 3,248.51 and 1,705.91 is: 2,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.67 : 3,248.51 = 1,705.91 : x
  2. Step 2: Convert to fraction form
    2,165.67/3,248.51 = 1,705.91/x
  3. Step 3: Cross multiply
    2,165.67x = 3,248.51 × 1,705.91
  4. Step 4: Simplify right side
    2,165.67x = 5,541,640.92
  5. Step 5: Solve for x
    x = 5,541,640.92/2,165.67
  6. Step 6: Final answer
    x = 2,558.86

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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.