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Finding the Fourth Proportional to 2,846.52, 3,930.66 and 2,101.77

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Solution

The fourth proportional to 2,846.52, 3,930.66 and 2,101.77 is: 2,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.52 : 3,930.66 = 2,101.77 : x
  2. Step 2: Convert to fraction form
    2,846.52/3,930.66 = 2,101.77/x
  3. Step 3: Cross multiply
    2,846.52x = 3,930.66 × 2,101.77
  4. Step 4: Simplify right side
    2,846.52x = 8,261,343.27
  5. Step 5: Solve for x
    x = 8,261,343.27/2,846.52
  6. Step 6: Final answer
    x = 2,902.26

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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.