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Finding the Fourth Proportional to 2,699.14, 4,046.01 and 942.79

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Solution

The fourth proportional to 2,699.14, 4,046.01 and 942.79 is: 1,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.14 : 4,046.01 = 942.79 : x
  2. Step 2: Convert to fraction form
    2,699.14/4,046.01 = 942.79/x
  3. Step 3: Cross multiply
    2,699.14x = 4,046.01 × 942.79
  4. Step 4: Simplify right side
    2,699.14x = 3,814,537.77
  5. Step 5: Solve for x
    x = 3,814,537.77/2,699.14
  6. Step 6: Final answer
    x = 1,413.24

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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.