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Finding the Fourth Proportional to 2,546.29, 3,818.15 and 902.60

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Solution

The fourth proportional to 2,546.29, 3,818.15 and 902.60 is: 1,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.29 : 3,818.15 = 902.60 : x
  2. Step 2: Convert to fraction form
    2,546.29/3,818.15 = 902.60/x
  3. Step 3: Cross multiply
    2,546.29x = 3,818.15 × 902.60
  4. Step 4: Simplify right side
    2,546.29x = 3,446,257.68
  5. Step 5: Solve for x
    x = 3,446,257.68/2,546.29
  6. Step 6: Final answer
    x = 1,353.45

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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.