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Finding the Fourth Proportional to 2,200.92, 3,302.90 and 902.39

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Solution

The fourth proportional to 2,200.92, 3,302.90 and 902.39 is: 1,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.92 : 3,302.90 = 902.39 : x
  2. Step 2: Convert to fraction form
    2,200.92/3,302.90 = 902.39/x
  3. Step 3: Cross multiply
    2,200.92x = 3,302.90 × 902.39
  4. Step 4: Simplify right side
    2,200.92x = 2,980,507.41
  5. Step 5: Solve for x
    x = 2,980,507.41/2,200.92
  6. Step 6: Final answer
    x = 1,354.21

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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.