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Finding the Fourth Proportional to 2,288.78, 3,431.34 and 902.46

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Solution

The fourth proportional to 2,288.78, 3,431.34 and 902.46 is: 1,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.78 : 3,431.34 = 902.46 : x
  2. Step 2: Convert to fraction form
    2,288.78/3,431.34 = 902.46/x
  3. Step 3: Cross multiply
    2,288.78x = 3,431.34 × 902.46
  4. Step 4: Simplify right side
    2,288.78x = 3,096,647.10
  5. Step 5: Solve for x
    x = 3,096,647.10/2,288.78
  6. Step 6: Final answer
    x = 1,352.97

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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.