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Finding the Fourth Proportional to 2,400.12, 3,600.77 and 1,012.71

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Solution

The fourth proportional to 2,400.12, 3,600.77 and 1,012.71 is: 1,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.12 : 3,600.77 = 1,012.71 : x
  2. Step 2: Convert to fraction form
    2,400.12/3,600.77 = 1,012.71/x
  3. Step 3: Cross multiply
    2,400.12x = 3,600.77 × 1,012.71
  4. Step 4: Simplify right side
    2,400.12x = 3,646,530.72
  5. Step 5: Solve for x
    x = 3,646,530.72/2,400.12
  6. Step 6: Final answer
    x = 1,519.31

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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.