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Finding the Fourth Proportional to 1,902.46, 2,625.42 and 1,116.32

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Solution

The fourth proportional to 1,902.46, 2,625.42 and 1,116.32 is: 1,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.46 : 2,625.42 = 1,116.32 : x
  2. Step 2: Convert to fraction form
    1,902.46/2,625.42 = 1,116.32/x
  3. Step 3: Cross multiply
    1,902.46x = 2,625.42 × 1,116.32
  4. Step 4: Simplify right side
    1,902.46x = 2,930,808.85
  5. Step 5: Solve for x
    x = 2,930,808.85/1,902.46
  6. Step 6: Final answer
    x = 1,540.54

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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.