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Finding the Fourth Proportional to 2,780.55, 3,837.11 and 1,601.73

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Solution

The fourth proportional to 2,780.55, 3,837.11 and 1,601.73 is: 2,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.55 : 3,837.11 = 1,601.73 : x
  2. Step 2: Convert to fraction form
    2,780.55/3,837.11 = 1,601.73/x
  3. Step 3: Cross multiply
    2,780.55x = 3,837.11 × 1,601.73
  4. Step 4: Simplify right side
    2,780.55x = 6,146,006.19
  5. Step 5: Solve for x
    x = 6,146,006.19/2,780.55
  6. Step 6: Final answer
    x = 2,210.36

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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.