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Finding the Fourth Proportional to 2,172.16, 3,251.84 and 1,347.78

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Solution

The fourth proportional to 2,172.16, 3,251.84 and 1,347.78 is: 2,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.16 : 3,251.84 = 1,347.78 : x
  2. Step 2: Convert to fraction form
    2,172.16/3,251.84 = 1,347.78/x
  3. Step 3: Cross multiply
    2,172.16x = 3,251.84 × 1,347.78
  4. Step 4: Simplify right side
    2,172.16x = 4,382,764.92
  5. Step 5: Solve for x
    x = 4,382,764.92/2,172.16
  6. Step 6: Final answer
    x = 2,017.70

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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.