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Finding the Fourth Proportional to 2,289.36, 3,433.40 and 883.46

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Solution

The fourth proportional to 2,289.36, 3,433.40 and 883.46 is: 1,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.36 : 3,433.40 = 883.46 : x
  2. Step 2: Convert to fraction form
    2,289.36/3,433.40 = 883.46/x
  3. Step 3: Cross multiply
    2,289.36x = 3,433.40 × 883.46
  4. Step 4: Simplify right side
    2,289.36x = 3,033,260.97
  5. Step 5: Solve for x
    x = 3,033,260.97/2,289.36
  6. Step 6: Final answer
    x = 1,324.94

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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.