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Finding the Fourth Proportional to 2,203.92, 3,304.32 and 887.60

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Solution

The fourth proportional to 2,203.92, 3,304.32 and 887.60 is: 1,330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.92 : 3,304.32 = 887.60 : x
  2. Step 2: Convert to fraction form
    2,203.92/3,304.32 = 887.60/x
  3. Step 3: Cross multiply
    2,203.92x = 3,304.32 × 887.60
  4. Step 4: Simplify right side
    2,203.92x = 2,932,914.43
  5. Step 5: Solve for x
    x = 2,932,914.43/2,203.92
  6. Step 6: Final answer
    x = 1,330.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.