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Finding the Fourth Proportional to 2,842.22, 4,263.63 and 1,087.22

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Solution

The fourth proportional to 2,842.22, 4,263.63 and 1,087.22 is: 1,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.22 : 4,263.63 = 1,087.22 : x
  2. Step 2: Convert to fraction form
    2,842.22/4,263.63 = 1,087.22/x
  3. Step 3: Cross multiply
    2,842.22x = 4,263.63 × 1,087.22
  4. Step 4: Simplify right side
    2,842.22x = 4,635,514.47
  5. Step 5: Solve for x
    x = 4,635,514.47/2,842.22
  6. Step 6: Final answer
    x = 1,630.95

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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.