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Finding the Fourth Proportional to 2,277.68, 3,413.64 and 1,250.48

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Solution

The fourth proportional to 2,277.68, 3,413.64 and 1,250.48 is: 1,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.68 : 3,413.64 = 1,250.48 : x
  2. Step 2: Convert to fraction form
    2,277.68/3,413.64 = 1,250.48/x
  3. Step 3: Cross multiply
    2,277.68x = 3,413.64 × 1,250.48
  4. Step 4: Simplify right side
    2,277.68x = 4,268,688.55
  5. Step 5: Solve for x
    x = 4,268,688.55/2,277.68
  6. Step 6: Final answer
    x = 1,874.14

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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.