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Finding the Fourth Proportional to 2,092.03, 3,137.92 and 705.25

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Solution

The fourth proportional to 2,092.03, 3,137.92 and 705.25 is: 1,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.03 : 3,137.92 = 705.25 : x
  2. Step 2: Convert to fraction form
    2,092.03/3,137.92 = 705.25/x
  3. Step 3: Cross multiply
    2,092.03x = 3,137.92 × 705.25
  4. Step 4: Simplify right side
    2,092.03x = 2,213,018.08
  5. Step 5: Solve for x
    x = 2,213,018.08/2,092.03
  6. Step 6: Final answer
    x = 1,057.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.