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Finding the Fourth Proportional to 2,203.08, 3,304.30 and 642.67

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Solution

The fourth proportional to 2,203.08, 3,304.30 and 642.67 is: 963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.08 : 3,304.30 = 642.67 : x
  2. Step 2: Convert to fraction form
    2,203.08/3,304.30 = 642.67/x
  3. Step 3: Cross multiply
    2,203.08x = 3,304.30 × 642.67
  4. Step 4: Simplify right side
    2,203.08x = 2,123,557.96
  5. Step 5: Solve for x
    x = 2,123,557.96/2,203.08
  6. Step 6: Final answer
    x = 963.90

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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.