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Finding the Fourth Proportional to 2,863.80, 4,294.42 and 811.32

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Solution

The fourth proportional to 2,863.80, 4,294.42 and 811.32 is: 1,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.80 : 4,294.42 = 811.32 : x
  2. Step 2: Convert to fraction form
    2,863.80/4,294.42 = 811.32/x
  3. Step 3: Cross multiply
    2,863.80x = 4,294.42 × 811.32
  4. Step 4: Simplify right side
    2,863.80x = 3,484,148.83
  5. Step 5: Solve for x
    x = 3,484,148.83/2,863.80
  6. Step 6: Final answer
    x = 1,216.62

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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.