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Finding the Fourth Proportional to 2,276.84, 3,413.10 and 1,399.88

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Solution

The fourth proportional to 2,276.84, 3,413.10 and 1,399.88 is: 2,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.84 : 3,413.10 = 1,399.88 : x
  2. Step 2: Convert to fraction form
    2,276.84/3,413.10 = 1,399.88/x
  3. Step 3: Cross multiply
    2,276.84x = 3,413.10 × 1,399.88
  4. Step 4: Simplify right side
    2,276.84x = 4,777,930.43
  5. Step 5: Solve for x
    x = 4,777,930.43/2,276.84
  6. Step 6: Final answer
    x = 2,098.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.