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Finding the Fourth Proportional to 2,324.65, 3,213.12 and 2,042.77

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Solution

The fourth proportional to 2,324.65, 3,213.12 and 2,042.77 is: 2,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.65 : 3,213.12 = 2,042.77 : x
  2. Step 2: Convert to fraction form
    2,324.65/3,213.12 = 2,042.77/x
  3. Step 3: Cross multiply
    2,324.65x = 3,213.12 × 2,042.77
  4. Step 4: Simplify right side
    2,324.65x = 6,563,665.14
  5. Step 5: Solve for x
    x = 6,563,665.14/2,324.65
  6. Step 6: Final answer
    x = 2,823.51

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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.