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Finding the Fourth Proportional to 1,334.22, 1,841.94 and 892.87

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Solution

The fourth proportional to 1,334.22, 1,841.94 and 892.87 is: 1,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.22 : 1,841.94 = 892.87 : x
  2. Step 2: Convert to fraction form
    1,334.22/1,841.94 = 892.87/x
  3. Step 3: Cross multiply
    1,334.22x = 1,841.94 × 892.87
  4. Step 4: Simplify right side
    1,334.22x = 1,644,618.72
  5. Step 5: Solve for x
    x = 1,644,618.72/1,334.22
  6. Step 6: Final answer
    x = 1,232.64

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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.