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Finding the Fourth Proportional to 2,298.96, 3,170.87 and 1,414.44

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Solution

The fourth proportional to 2,298.96, 3,170.87 and 1,414.44 is: 1,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.96 : 3,170.87 = 1,414.44 : x
  2. Step 2: Convert to fraction form
    2,298.96/3,170.87 = 1,414.44/x
  3. Step 3: Cross multiply
    2,298.96x = 3,170.87 × 1,414.44
  4. Step 4: Simplify right side
    2,298.96x = 4,485,005.36
  5. Step 5: Solve for x
    x = 4,485,005.36/2,298.96
  6. Step 6: Final answer
    x = 1,950.88

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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.