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Finding the Fourth Proportional to 1,902.90, 2,626.05 and 1,063.59

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Solution

The fourth proportional to 1,902.90, 2,626.05 and 1,063.59 is: 1,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.90 : 2,626.05 = 1,063.59 : x
  2. Step 2: Convert to fraction form
    1,902.90/2,626.05 = 1,063.59/x
  3. Step 3: Cross multiply
    1,902.90x = 2,626.05 × 1,063.59
  4. Step 4: Simplify right side
    1,902.90x = 2,793,040.52
  5. Step 5: Solve for x
    x = 2,793,040.52/1,902.90
  6. Step 6: Final answer
    x = 1,467.78

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