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Finding the Fourth Proportional to 2,181.74, 3,273.16 and 1,012.58

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Solution

The fourth proportional to 2,181.74, 3,273.16 and 1,012.58 is: 1,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.74 : 3,273.16 = 1,012.58 : x
  2. Step 2: Convert to fraction form
    2,181.74/3,273.16 = 1,012.58/x
  3. Step 3: Cross multiply
    2,181.74x = 3,273.16 × 1,012.58
  4. Step 4: Simplify right side
    2,181.74x = 3,314,336.35
  5. Step 5: Solve for x
    x = 3,314,336.35/2,181.74
  6. Step 6: Final answer
    x = 1,519.13

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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.