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Finding the Fourth Proportional to 2,000.35, 3,000.14 and 539.13

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Solution

The fourth proportional to 2,000.35, 3,000.14 and 539.13 is: 808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.35 : 3,000.14 = 539.13 : x
  2. Step 2: Convert to fraction form
    2,000.35/3,000.14 = 539.13/x
  3. Step 3: Cross multiply
    2,000.35x = 3,000.14 × 539.13
  4. Step 4: Simplify right side
    2,000.35x = 1,617,465.48
  5. Step 5: Solve for x
    x = 1,617,465.48/2,000.35
  6. Step 6: Final answer
    x = 808.59

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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.