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Finding the Fourth Proportional to 2,894.73, 4,340.43 and 2,548.77

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Solution

The fourth proportional to 2,894.73, 4,340.43 and 2,548.77 is: 3,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.73 : 4,340.43 = 2,548.77 : x
  2. Step 2: Convert to fraction form
    2,894.73/4,340.43 = 2,548.77/x
  3. Step 3: Cross multiply
    2,894.73x = 4,340.43 × 2,548.77
  4. Step 4: Simplify right side
    2,894.73x = 11,062,757.77
  5. Step 5: Solve for x
    x = 11,062,757.77/2,894.73
  6. Step 6: Final answer
    x = 3,821.69

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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.