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Finding the Fourth Proportional to 2,244, 3,097.68 and 1,712.96

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Solution

The fourth proportional to 2,244, 3,097.68 and 1,712.96 is: 2,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244 : 3,097.68 = 1,712.96 : x
  2. Step 2: Convert to fraction form
    2,244/3,097.68 = 1,712.96/x
  3. Step 3: Cross multiply
    2,244x = 3,097.68 × 1,712.96
  4. Step 4: Simplify right side
    2,244x = 5,306,201.93
  5. Step 5: Solve for x
    x = 5,306,201.93/2,244
  6. Step 6: Final answer
    x = 2,364.62

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Why These Related Problems?

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