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Finding the Fourth Proportional to 2,400.21, 3,600.08 and 839.93

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Solution

The fourth proportional to 2,400.21, 3,600.08 and 839.93 is: 1,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.21 : 3,600.08 = 839.93 : x
  2. Step 2: Convert to fraction form
    2,400.21/3,600.08 = 839.93/x
  3. Step 3: Cross multiply
    2,400.21x = 3,600.08 × 839.93
  4. Step 4: Simplify right side
    2,400.21x = 3,023,815.19
  5. Step 5: Solve for x
    x = 3,023,815.19/2,400.21
  6. Step 6: Final answer
    x = 1,259.81

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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.