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Finding the Fourth Proportional to 2,010.21, 3,012.88 and 1,035.78

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Solution

The fourth proportional to 2,010.21, 3,012.88 and 1,035.78 is: 1,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.21 : 3,012.88 = 1,035.78 : x
  2. Step 2: Convert to fraction form
    2,010.21/3,012.88 = 1,035.78/x
  3. Step 3: Cross multiply
    2,010.21x = 3,012.88 × 1,035.78
  4. Step 4: Simplify right side
    2,010.21x = 3,120,680.85
  5. Step 5: Solve for x
    x = 3,120,680.85/2,010.21
  6. Step 6: Final answer
    x = 1,552.42

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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.