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Finding the Fourth Proportional to 2,612.29, 3,918.42 and 882.13

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Solution

The fourth proportional to 2,612.29, 3,918.42 and 882.13 is: 1,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.29 : 3,918.42 = 882.13 : x
  2. Step 2: Convert to fraction form
    2,612.29/3,918.42 = 882.13/x
  3. Step 3: Cross multiply
    2,612.29x = 3,918.42 × 882.13
  4. Step 4: Simplify right side
    2,612.29x = 3,456,555.83
  5. Step 5: Solve for x
    x = 3,456,555.83/2,612.29
  6. Step 6: Final answer
    x = 1,323.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.