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Finding the Fourth Proportional to 2,272.23, 3,407.69 and 885.26

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Solution

The fourth proportional to 2,272.23, 3,407.69 and 885.26 is: 1,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.23 : 3,407.69 = 885.26 : x
  2. Step 2: Convert to fraction form
    2,272.23/3,407.69 = 885.26/x
  3. Step 3: Cross multiply
    2,272.23x = 3,407.69 × 885.26
  4. Step 4: Simplify right side
    2,272.23x = 3,016,670.18
  5. Step 5: Solve for x
    x = 3,016,670.18/2,272.23
  6. Step 6: Final answer
    x = 1,327.63

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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.