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Finding the Fourth Proportional to 2,000.10, 3,000.41 and 684.11

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Solution

The fourth proportional to 2,000.10, 3,000.41 and 684.11 is: 1,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.10 : 3,000.41 = 684.11 : x
  2. Step 2: Convert to fraction form
    2,000.10/3,000.41 = 684.11/x
  3. Step 3: Cross multiply
    2,000.10x = 3,000.41 × 684.11
  4. Step 4: Simplify right side
    2,000.10x = 2,052,617.13
  5. Step 5: Solve for x
    x = 2,052,617.13/2,000.10
  6. Step 6: Final answer
    x = 1,026.26

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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.