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Finding the Fourth Proportional to 2,270.30, 3,406.34 and 884.05

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Solution

The fourth proportional to 2,270.30, 3,406.34 and 884.05 is: 1,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.30 : 3,406.34 = 884.05 : x
  2. Step 2: Convert to fraction form
    2,270.30/3,406.34 = 884.05/x
  3. Step 3: Cross multiply
    2,270.30x = 3,406.34 × 884.05
  4. Step 4: Simplify right side
    2,270.30x = 3,011,368.57
  5. Step 5: Solve for x
    x = 3,011,368.57/2,270.30
  6. Step 6: Final answer
    x = 1,326.42

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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.