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Finding the Fourth Proportional to 2,010.14, 2,774 and 1,125.96

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Solution

The fourth proportional to 2,010.14, 2,774 and 1,125.96 is: 1,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.14 : 2,774 = 1,125.96 : x
  2. Step 2: Convert to fraction form
    2,010.14/2,774 = 1,125.96/x
  3. Step 3: Cross multiply
    2,010.14x = 2,774 × 1,125.96
  4. Step 4: Simplify right side
    2,010.14x = 3,123,413.04
  5. Step 5: Solve for x
    x = 3,123,413.04/2,010.14
  6. Step 6: Final answer
    x = 1,553.83

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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.