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Finding the Fourth Proportional to 2,842.65, 3,919.32 and 2,371.23

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Solution

The fourth proportional to 2,842.65, 3,919.32 and 2,371.23 is: 3,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.65 : 3,919.32 = 2,371.23 : x
  2. Step 2: Convert to fraction form
    2,842.65/3,919.32 = 2,371.23/x
  3. Step 3: Cross multiply
    2,842.65x = 3,919.32 × 2,371.23
  4. Step 4: Simplify right side
    2,842.65x = 9,293,609.16
  5. Step 5: Solve for x
    x = 9,293,609.16/2,842.65
  6. Step 6: Final answer
    x = 3,269.35

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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.