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Finding the Fourth Proportional to 2,275.59, 3,413.34 and 815.70

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Solution

The fourth proportional to 2,275.59, 3,413.34 and 815.70 is: 1,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.59 : 3,413.34 = 815.70 : x
  2. Step 2: Convert to fraction form
    2,275.59/3,413.34 = 815.70/x
  3. Step 3: Cross multiply
    2,275.59x = 3,413.34 × 815.70
  4. Step 4: Simplify right side
    2,275.59x = 2,784,261.44
  5. Step 5: Solve for x
    x = 2,784,261.44/2,275.59
  6. Step 6: Final answer
    x = 1,223.53

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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.