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Finding the Fourth Proportional to 2,809.48, 3,872.82 and 2,023.24

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Solution

The fourth proportional to 2,809.48, 3,872.82 and 2,023.24 is: 2,789.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.48 : 3,872.82 = 2,023.24 : x
  2. Step 2: Convert to fraction form
    2,809.48/3,872.82 = 2,023.24/x
  3. Step 3: Cross multiply
    2,809.48x = 3,872.82 × 2,023.24
  4. Step 4: Simplify right side
    2,809.48x = 7,835,644.34
  5. Step 5: Solve for x
    x = 7,835,644.34/2,809.48
  6. Step 6: Final answer
    x = 2,789.00

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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.