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Finding the Fourth Proportional to 2,943.84, 4,413.24 and 1,187.76

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Solution

The fourth proportional to 2,943.84, 4,413.24 and 1,187.76 is: 1,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.84 : 4,413.24 = 1,187.76 : x
  2. Step 2: Convert to fraction form
    2,943.84/4,413.24 = 1,187.76/x
  3. Step 3: Cross multiply
    2,943.84x = 4,413.24 × 1,187.76
  4. Step 4: Simplify right side
    2,943.84x = 5,241,869.94
  5. Step 5: Solve for x
    x = 5,241,869.94/2,943.84
  6. Step 6: Final answer
    x = 1,780.62

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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.