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Finding the Fourth Proportional to 1,903.91, 2,626.97 and 1,204.88

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Solution

The fourth proportional to 1,903.91, 2,626.97 and 1,204.88 is: 1,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.91 : 2,626.97 = 1,204.88 : x
  2. Step 2: Convert to fraction form
    1,903.91/2,626.97 = 1,204.88/x
  3. Step 3: Cross multiply
    1,903.91x = 2,626.97 × 1,204.88
  4. Step 4: Simplify right side
    1,903.91x = 3,165,164.45
  5. Step 5: Solve for x
    x = 3,165,164.45/1,903.91
  6. Step 6: Final answer
    x = 1,662.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.