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Finding the Fourth Proportional to 2,000.09, 2,762.61 and 1,413.25

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Solution

The fourth proportional to 2,000.09, 2,762.61 and 1,413.25 is: 1,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.09 : 2,762.61 = 1,413.25 : x
  2. Step 2: Convert to fraction form
    2,000.09/2,762.61 = 1,413.25/x
  3. Step 3: Cross multiply
    2,000.09x = 2,762.61 × 1,413.25
  4. Step 4: Simplify right side
    2,000.09x = 3,904,246.38
  5. Step 5: Solve for x
    x = 3,904,246.38/2,000.09
  6. Step 6: Final answer
    x = 1,952.03

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Why These Related Problems?

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