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Finding the Fourth Proportional to 2,034.37, 3,050.79 and 801.11

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Solution

The fourth proportional to 2,034.37, 3,050.79 and 801.11 is: 1,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.37 : 3,050.79 = 801.11 : x
  2. Step 2: Convert to fraction form
    2,034.37/3,050.79 = 801.11/x
  3. Step 3: Cross multiply
    2,034.37x = 3,050.79 × 801.11
  4. Step 4: Simplify right side
    2,034.37x = 2,444,018.38
  5. Step 5: Solve for x
    x = 2,444,018.38/2,034.37
  6. Step 6: Final answer
    x = 1,201.36

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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.