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Finding the Fourth Proportional to 3,104.61, 4,645.76 and 2,280.84

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Solution

The fourth proportional to 3,104.61, 4,645.76 and 2,280.84 is: 3,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.61 : 4,645.76 = 2,280.84 : x
  2. Step 2: Convert to fraction form
    3,104.61/4,645.76 = 2,280.84/x
  3. Step 3: Cross multiply
    3,104.61x = 4,645.76 × 2,280.84
  4. Step 4: Simplify right side
    3,104.61x = 10,596,223.83
  5. Step 5: Solve for x
    x = 10,596,223.83/3,104.61
  6. Step 6: Final answer
    x = 3,413.06

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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.