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Finding the Fourth Proportional to 2,000.02, 3,000.04 and 539.18

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Solution

The fourth proportional to 2,000.02, 3,000.04 and 539.18 is: 808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.02 : 3,000.04 = 539.18 : x
  2. Step 2: Convert to fraction form
    2,000.02/3,000.04 = 539.18/x
  3. Step 3: Cross multiply
    2,000.02x = 3,000.04 × 539.18
  4. Step 4: Simplify right side
    2,000.02x = 1,617,561.57
  5. Step 5: Solve for x
    x = 1,617,561.57/2,000.02
  6. Step 6: Final answer
    x = 808.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.