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Finding the Fourth Proportional to 2,147.32, 3,217.02 and 1,416.16

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Solution

The fourth proportional to 2,147.32, 3,217.02 and 1,416.16 is: 2,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.32 : 3,217.02 = 1,416.16 : x
  2. Step 2: Convert to fraction form
    2,147.32/3,217.02 = 1,416.16/x
  3. Step 3: Cross multiply
    2,147.32x = 3,217.02 × 1,416.16
  4. Step 4: Simplify right side
    2,147.32x = 4,555,815.04
  5. Step 5: Solve for x
    x = 4,555,815.04/2,147.32
  6. Step 6: Final answer
    x = 2,121.63

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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.