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Finding the Fourth Proportional to 2,000.00, 3,000.07 and 613.22

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Solution

The fourth proportional to 2,000.00, 3,000.07 and 613.22 is: 919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.00 : 3,000.07 = 613.22 : x
  2. Step 2: Convert to fraction form
    2,000.00/3,000.07 = 613.22/x
  3. Step 3: Cross multiply
    2,000.00x = 3,000.07 × 613.22
  4. Step 4: Simplify right side
    2,000.00x = 1,839,688.69
  5. Step 5: Solve for x
    x = 1,839,688.69/2,000.00
  6. Step 6: Final answer
    x = 919.84

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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.