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Finding the Fourth Proportional to 2,218.61, 3,328.95 and 902.27

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Solution

The fourth proportional to 2,218.61, 3,328.95 and 902.27 is: 1,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.61 : 3,328.95 = 902.27 : x
  2. Step 2: Convert to fraction form
    2,218.61/3,328.95 = 902.27/x
  3. Step 3: Cross multiply
    2,218.61x = 3,328.95 × 902.27
  4. Step 4: Simplify right side
    2,218.61x = 3,003,611.72
  5. Step 5: Solve for x
    x = 3,003,611.72/2,218.61
  6. Step 6: Final answer
    x = 1,353.83

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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.