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Finding the Fourth Proportional to 2,012.42, 3,019.15 and 696.44

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Solution

The fourth proportional to 2,012.42, 3,019.15 and 696.44 is: 1,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.42 : 3,019.15 = 696.44 : x
  2. Step 2: Convert to fraction form
    2,012.42/3,019.15 = 696.44/x
  3. Step 3: Cross multiply
    2,012.42x = 3,019.15 × 696.44
  4. Step 4: Simplify right side
    2,012.42x = 2,102,656.83
  5. Step 5: Solve for x
    x = 2,102,656.83/2,012.42
  6. Step 6: Final answer
    x = 1,044.84

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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.