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Finding the Fourth Proportional to 2,037.24, 3,054.87 and 942.39

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Solution

The fourth proportional to 2,037.24, 3,054.87 and 942.39 is: 1,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.24 : 3,054.87 = 942.39 : x
  2. Step 2: Convert to fraction form
    2,037.24/3,054.87 = 942.39/x
  3. Step 3: Cross multiply
    2,037.24x = 3,054.87 × 942.39
  4. Step 4: Simplify right side
    2,037.24x = 2,878,878.94
  5. Step 5: Solve for x
    x = 2,878,878.94/2,037.24
  6. Step 6: Final answer
    x = 1,413.13

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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.