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Finding the Fourth Proportional to 1,902.49, 2,625.19 and 1,116.25

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Solution

The fourth proportional to 1,902.49, 2,625.19 and 1,116.25 is: 1,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.49 : 2,625.19 = 1,116.25 : x
  2. Step 2: Convert to fraction form
    1,902.49/2,625.19 = 1,116.25/x
  3. Step 3: Cross multiply
    1,902.49x = 2,625.19 × 1,116.25
  4. Step 4: Simplify right side
    1,902.49x = 2,930,368.34
  5. Step 5: Solve for x
    x = 2,930,368.34/1,902.49
  6. Step 6: Final answer
    x = 1,540.28

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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.