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Finding the Fourth Proportional to 1,902.51, 2,626.02 and 1,204.29

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Solution

The fourth proportional to 1,902.51, 2,626.02 and 1,204.29 is: 1,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.51 : 2,626.02 = 1,204.29 : x
  2. Step 2: Convert to fraction form
    1,902.51/2,626.02 = 1,204.29/x
  3. Step 3: Cross multiply
    1,902.51x = 2,626.02 × 1,204.29
  4. Step 4: Simplify right side
    1,902.51x = 3,162,489.63
  5. Step 5: Solve for x
    x = 3,162,489.63/1,902.51
  6. Step 6: Final answer
    x = 1,662.27

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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.