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Finding the Fourth Proportional to 2,203.84, 3,304.98 and 1,107.88

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Solution

The fourth proportional to 2,203.84, 3,304.98 and 1,107.88 is: 1,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.84 : 3,304.98 = 1,107.88 : x
  2. Step 2: Convert to fraction form
    2,203.84/3,304.98 = 1,107.88/x
  3. Step 3: Cross multiply
    2,203.84x = 3,304.98 × 1,107.88
  4. Step 4: Simplify right side
    2,203.84x = 3,661,521.24
  5. Step 5: Solve for x
    x = 3,661,521.24/2,203.84
  6. Step 6: Final answer
    x = 1,661.43

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1.5x scale

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.