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Finding the Fourth Proportional to 2,203.28, 3,305.40 and 903.92

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Solution

The fourth proportional to 2,203.28, 3,305.40 and 903.92 is: 1,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.28 : 3,305.40 = 903.92 : x
  2. Step 2: Convert to fraction form
    2,203.28/3,305.40 = 903.92/x
  3. Step 3: Cross multiply
    2,203.28x = 3,305.40 × 903.92
  4. Step 4: Simplify right side
    2,203.28x = 2,987,817.17
  5. Step 5: Solve for x
    x = 2,987,817.17/2,203.28
  6. Step 6: Final answer
    x = 1,356.08

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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.