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Finding the Fourth Proportional to 2,053.09, 3,079.61 and 942.19

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Solution

The fourth proportional to 2,053.09, 3,079.61 and 942.19 is: 1,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.09 : 3,079.61 = 942.19 : x
  2. Step 2: Convert to fraction form
    2,053.09/3,079.61 = 942.19/x
  3. Step 3: Cross multiply
    2,053.09x = 3,079.61 × 942.19
  4. Step 4: Simplify right side
    2,053.09x = 2,901,565.34
  5. Step 5: Solve for x
    x = 2,901,565.34/2,053.09
  6. Step 6: Final answer
    x = 1,413.27

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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.