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Finding the Fourth Proportional to 2,516.22, 3,471.99 and 1,397.14

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Solution

The fourth proportional to 2,516.22, 3,471.99 and 1,397.14 is: 1,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.22 : 3,471.99 = 1,397.14 : x
  2. Step 2: Convert to fraction form
    2,516.22/3,471.99 = 1,397.14/x
  3. Step 3: Cross multiply
    2,516.22x = 3,471.99 × 1,397.14
  4. Step 4: Simplify right side
    2,516.22x = 4,850,842.19
  5. Step 5: Solve for x
    x = 4,850,842.19/2,516.22
  6. Step 6: Final answer
    x = 1,927.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.