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Finding the Fourth Proportional to 2,276.91, 3,413.85 and 815.87

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Solution

The fourth proportional to 2,276.91, 3,413.85 and 815.87 is: 1,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.91 : 3,413.85 = 815.87 : x
  2. Step 2: Convert to fraction form
    2,276.91/3,413.85 = 815.87/x
  3. Step 3: Cross multiply
    2,276.91x = 3,413.85 × 815.87
  4. Step 4: Simplify right side
    2,276.91x = 2,785,263.27
  5. Step 5: Solve for x
    x = 2,785,263.27/2,276.91
  6. Step 6: Final answer
    x = 1,223.26

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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.