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Finding the Fourth Proportional to 3,197.76, 4,413.02 and 1,781.58

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Solution

The fourth proportional to 3,197.76, 4,413.02 and 1,781.58 is: 2,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.76 : 4,413.02 = 1,781.58 : x
  2. Step 2: Convert to fraction form
    3,197.76/4,413.02 = 1,781.58/x
  3. Step 3: Cross multiply
    3,197.76x = 4,413.02 × 1,781.58
  4. Step 4: Simplify right side
    3,197.76x = 7,862,148.17
  5. Step 5: Solve for x
    x = 7,862,148.17/3,197.76
  6. Step 6: Final answer
    x = 2,458.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.