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Finding the Fourth Proportional to 1,841.31, 2,766.02 and 1,111.32

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Solution

The fourth proportional to 1,841.31, 2,766.02 and 1,111.32 is: 1,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.31 : 2,766.02 = 1,111.32 : x
  2. Step 2: Convert to fraction form
    1,841.31/2,766.02 = 1,111.32/x
  3. Step 3: Cross multiply
    1,841.31x = 2,766.02 × 1,111.32
  4. Step 4: Simplify right side
    1,841.31x = 3,073,927.79
  5. Step 5: Solve for x
    x = 3,073,927.79/1,841.31
  6. Step 6: Final answer
    x = 1,669.42

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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.