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Finding the Fourth Proportional to 2,292.22, 3,162.99 and 1,283.99

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Solution

The fourth proportional to 2,292.22, 3,162.99 and 1,283.99 is: 1,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.22 : 3,162.99 = 1,283.99 : x
  2. Step 2: Convert to fraction form
    2,292.22/3,162.99 = 1,283.99/x
  3. Step 3: Cross multiply
    2,292.22x = 3,162.99 × 1,283.99
  4. Step 4: Simplify right side
    2,292.22x = 4,061,231.72
  5. Step 5: Solve for x
    x = 4,061,231.72/2,292.22
  6. Step 6: Final answer
    x = 1,771.75

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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.