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Finding the Fourth Proportional to 2,592.02, 3,576.87 and 1,413.05

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Solution

The fourth proportional to 2,592.02, 3,576.87 and 1,413.05 is: 1,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.02 : 3,576.87 = 1,413.05 : x
  2. Step 2: Convert to fraction form
    2,592.02/3,576.87 = 1,413.05/x
  3. Step 3: Cross multiply
    2,592.02x = 3,576.87 × 1,413.05
  4. Step 4: Simplify right side
    2,592.02x = 5,054,296.15
  5. Step 5: Solve for x
    x = 5,054,296.15/2,592.02
  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.