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Finding the Fourth Proportional to 2,906.32, 4,011.24 and 2,284.24

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Solution

The fourth proportional to 2,906.32, 4,011.24 and 2,284.24 is: 3,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.32 : 4,011.24 = 2,284.24 : x
  2. Step 2: Convert to fraction form
    2,906.32/4,011.24 = 2,284.24/x
  3. Step 3: Cross multiply
    2,906.32x = 4,011.24 × 2,284.24
  4. Step 4: Simplify right side
    2,906.32x = 9,162,634.86
  5. Step 5: Solve for x
    x = 9,162,634.86/2,906.32
  6. Step 6: Final answer
    x = 3,152.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.