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Finding the Fourth Proportional to 2,399.86, 3,599.76 and 940.04

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Solution

The fourth proportional to 2,399.86, 3,599.76 and 940.04 is: 1,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.86 : 3,599.76 = 940.04 : x
  2. Step 2: Convert to fraction form
    2,399.86/3,599.76 = 940.04/x
  3. Step 3: Cross multiply
    2,399.86x = 3,599.76 × 940.04
  4. Step 4: Simplify right side
    2,399.86x = 3,383,918.39
  5. Step 5: Solve for x
    x = 3,383,918.39/2,399.86
  6. Step 6: Final answer
    x = 1,410.05

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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.