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Finding the Fourth Proportional to 2,874.47, 4,311.51 and 1,413.14

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Solution

The fourth proportional to 2,874.47, 4,311.51 and 1,413.14 is: 2,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.47 : 4,311.51 = 1,413.14 : x
  2. Step 2: Convert to fraction form
    2,874.47/4,311.51 = 1,413.14/x
  3. Step 3: Cross multiply
    2,874.47x = 4,311.51 × 1,413.14
  4. Step 4: Simplify right side
    2,874.47x = 6,092,767.24
  5. Step 5: Solve for x
    x = 6,092,767.24/2,874.47
  6. Step 6: Final answer
    x = 2,119.61

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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.