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Finding the Fourth Proportional to 1,902.21, 2,625.03 and 1,116.11

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Solution

The fourth proportional to 1,902.21, 2,625.03 and 1,116.11 is: 1,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.21 : 2,625.03 = 1,116.11 : x
  2. Step 2: Convert to fraction form
    1,902.21/2,625.03 = 1,116.11/x
  3. Step 3: Cross multiply
    1,902.21x = 2,625.03 × 1,116.11
  4. Step 4: Simplify right side
    1,902.21x = 2,929,809.11
  5. Step 5: Solve for x
    x = 2,929,809.11/1,902.21
  6. Step 6: Final answer
    x = 1,540.21

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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.