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Finding the Fourth Proportional to 2,927.66, 4,399.06 and 2,201.90

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Solution

The fourth proportional to 2,927.66, 4,399.06 and 2,201.90 is: 3,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.66 : 4,399.06 = 2,201.90 : x
  2. Step 2: Convert to fraction form
    2,927.66/4,399.06 = 2,201.90/x
  3. Step 3: Cross multiply
    2,927.66x = 4,399.06 × 2,201.90
  4. Step 4: Simplify right side
    2,927.66x = 9,686,290.21
  5. Step 5: Solve for x
    x = 9,686,290.21/2,927.66
  6. Step 6: Final answer
    x = 3,308.54

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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.