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Finding the Fourth Proportional to 2,815.78, 4,223.67 and 2,644.51

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Solution

The fourth proportional to 2,815.78, 4,223.67 and 2,644.51 is: 3,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.78 : 4,223.67 = 2,644.51 : x
  2. Step 2: Convert to fraction form
    2,815.78/4,223.67 = 2,644.51/x
  3. Step 3: Cross multiply
    2,815.78x = 4,223.67 × 2,644.51
  4. Step 4: Simplify right side
    2,815.78x = 11,169,524.33
  5. Step 5: Solve for x
    x = 11,169,524.33/2,815.78
  6. Step 6: Final answer
    x = 3,966.77

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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.