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Finding the Fourth Proportional to 2,000.04, 3,000.13 and 539.23

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Solution

The fourth proportional to 2,000.04, 3,000.13 and 539.23 is: 808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.04 : 3,000.13 = 539.23 : x
  2. Step 2: Convert to fraction form
    2,000.04/3,000.13 = 539.23/x
  3. Step 3: Cross multiply
    2,000.04x = 3,000.13 × 539.23
  4. Step 4: Simplify right side
    2,000.04x = 1,617,760.10
  5. Step 5: Solve for x
    x = 1,617,760.10/2,000.04
  6. Step 6: Final answer
    x = 808.86

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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.