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Finding the Fourth Proportional to 2,591.90, 3,576.78 and 1,413.02

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Solution

The fourth proportional to 2,591.90, 3,576.78 and 1,413.02 is: 1,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.90 : 3,576.78 = 1,413.02 : x
  2. Step 2: Convert to fraction form
    2,591.90/3,576.78 = 1,413.02/x
  3. Step 3: Cross multiply
    2,591.90x = 3,576.78 × 1,413.02
  4. Step 4: Simplify right side
    2,591.90x = 5,054,061.68
  5. Step 5: Solve for x
    x = 5,054,061.68/2,591.90
  6. Step 6: Final answer
    x = 1,949.94

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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.