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Finding the Fourth Proportional to 2,282.86, 3,422.22 and 1,185.94

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Solution

The fourth proportional to 2,282.86, 3,422.22 and 1,185.94 is: 1,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.86 : 3,422.22 = 1,185.94 : x
  2. Step 2: Convert to fraction form
    2,282.86/3,422.22 = 1,185.94/x
  3. Step 3: Cross multiply
    2,282.86x = 3,422.22 × 1,185.94
  4. Step 4: Simplify right side
    2,282.86x = 4,058,547.59
  5. Step 5: Solve for x
    x = 4,058,547.59/2,282.86
  6. Step 6: Final answer
    x = 1,777.83

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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.