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Finding the Fourth Proportional to 2,037.67, 3,054.35 and 942.75

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Solution

The fourth proportional to 2,037.67, 3,054.35 and 942.75 is: 1,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.67 : 3,054.35 = 942.75 : x
  2. Step 2: Convert to fraction form
    2,037.67/3,054.35 = 942.75/x
  3. Step 3: Cross multiply
    2,037.67x = 3,054.35 × 942.75
  4. Step 4: Simplify right side
    2,037.67x = 2,879,490.82
  5. Step 5: Solve for x
    x = 2,879,490.82/2,037.67
  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.