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Finding the Fourth Proportional to 2,000.32, 2,994.96 and 1,024.32

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Solution

The fourth proportional to 2,000.32, 2,994.96 and 1,024.32 is: 1,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.32 : 2,994.96 = 1,024.32 : x
  2. Step 2: Convert to fraction form
    2,000.32/2,994.96 = 1,024.32/x
  3. Step 3: Cross multiply
    2,000.32x = 2,994.96 × 1,024.32
  4. Step 4: Simplify right side
    2,000.32x = 3,067,797.43
  5. Step 5: Solve for x
    x = 3,067,797.43/2,000.32
  6. Step 6: Final answer
    x = 1,533.65

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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.