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Finding the Fourth Proportional to 2,111.42, 3,166.34 and 844.58

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Solution

The fourth proportional to 2,111.42, 3,166.34 and 844.58 is: 1,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.42 : 3,166.34 = 844.58 : x
  2. Step 2: Convert to fraction form
    2,111.42/3,166.34 = 844.58/x
  3. Step 3: Cross multiply
    2,111.42x = 3,166.34 × 844.58
  4. Step 4: Simplify right side
    2,111.42x = 2,674,227.44
  5. Step 5: Solve for x
    x = 2,674,227.44/2,111.42
  6. Step 6: Final answer
    x = 1,266.55

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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.