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Finding the Fourth Proportional to 2,171.16, 3,254.72 and 1,293.89

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Solution

The fourth proportional to 2,171.16, 3,254.72 and 1,293.89 is: 1,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.16 : 3,254.72 = 1,293.89 : x
  2. Step 2: Convert to fraction form
    2,171.16/3,254.72 = 1,293.89/x
  3. Step 3: Cross multiply
    2,171.16x = 3,254.72 × 1,293.89
  4. Step 4: Simplify right side
    2,171.16x = 4,211,226.92
  5. Step 5: Solve for x
    x = 4,211,226.92/2,171.16
  6. Step 6: Final answer
    x = 1,939.62

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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.