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Finding the Fourth Proportional to 2,000.96, 3,000.48 and 684.32

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Solution

The fourth proportional to 2,000.96, 3,000.48 and 684.32 is: 1,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.96 : 3,000.48 = 684.32 : x
  2. Step 2: Convert to fraction form
    2,000.96/3,000.48 = 684.32/x
  3. Step 3: Cross multiply
    2,000.96x = 3,000.48 × 684.32
  4. Step 4: Simplify right side
    2,000.96x = 2,053,288.47
  5. Step 5: Solve for x
    x = 2,053,288.47/2,000.96
  6. Step 6: Final answer
    x = 1,026.15

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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.