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Finding the Fourth Proportional to 2,346.86, 3,238.67 and 1,284.61

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Solution

The fourth proportional to 2,346.86, 3,238.67 and 1,284.61 is: 1,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.86 : 3,238.67 = 1,284.61 : x
  2. Step 2: Convert to fraction form
    2,346.86/3,238.67 = 1,284.61/x
  3. Step 3: Cross multiply
    2,346.86x = 3,238.67 × 1,284.61
  4. Step 4: Simplify right side
    2,346.86x = 4,160,413.35
  5. Step 5: Solve for x
    x = 4,160,413.35/2,346.86
  6. Step 6: Final answer
    x = 1,772.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.