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Finding the Fourth Proportional to 2,864.88, 4,296.84 and 863.56

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Solution

The fourth proportional to 2,864.88, 4,296.84 and 863.56 is: 1,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.88 : 4,296.84 = 863.56 : x
  2. Step 2: Convert to fraction form
    2,864.88/4,296.84 = 863.56/x
  3. Step 3: Cross multiply
    2,864.88x = 4,296.84 × 863.56
  4. Step 4: Simplify right side
    2,864.88x = 3,710,579.15
  5. Step 5: Solve for x
    x = 3,710,579.15/2,864.88
  6. Step 6: Final answer
    x = 1,295.20

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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.