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Finding the Fourth Proportional to 2,811.74, 4,217.10 and 863.51

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Solution

The fourth proportional to 2,811.74, 4,217.10 and 863.51 is: 1,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.74 : 4,217.10 = 863.51 : x
  2. Step 2: Convert to fraction form
    2,811.74/4,217.10 = 863.51/x
  3. Step 3: Cross multiply
    2,811.74x = 4,217.10 × 863.51
  4. Step 4: Simplify right side
    2,811.74x = 3,641,508.02
  5. Step 5: Solve for x
    x = 3,641,508.02/2,811.74
  6. Step 6: Final answer
    x = 1,295.11

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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.