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Finding the Fourth Proportional to 2,299.18, 3,171.02 and 1,502.44

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Solution

The fourth proportional to 2,299.18, 3,171.02 and 1,502.44 is: 2,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.18 : 3,171.02 = 1,502.44 : x
  2. Step 2: Convert to fraction form
    2,299.18/3,171.02 = 1,502.44/x
  3. Step 3: Cross multiply
    2,299.18x = 3,171.02 × 1,502.44
  4. Step 4: Simplify right side
    2,299.18x = 4,764,267.29
  5. Step 5: Solve for x
    x = 4,764,267.29/2,299.18
  6. Step 6: Final answer
    x = 2,072.16

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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.