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Finding the Fourth Proportional to 3,112.98, 4,294.02 and 1,853.20

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Solution

The fourth proportional to 3,112.98, 4,294.02 and 1,853.20 is: 2,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.98 : 4,294.02 = 1,853.20 : x
  2. Step 2: Convert to fraction form
    3,112.98/4,294.02 = 1,853.20/x
  3. Step 3: Cross multiply
    3,112.98x = 4,294.02 × 1,853.20
  4. Step 4: Simplify right side
    3,112.98x = 7,957,667.13
  5. Step 5: Solve for x
    x = 7,957,667.13/3,112.98
  6. Step 6: Final answer
    x = 2,556.29

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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.