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Finding the Fourth Proportional to 2,095.99, 3,143.14 and 863.35

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Solution

The fourth proportional to 2,095.99, 3,143.14 and 863.35 is: 1,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.99 : 3,143.14 = 863.35 : x
  2. Step 2: Convert to fraction form
    2,095.99/3,143.14 = 863.35/x
  3. Step 3: Cross multiply
    2,095.99x = 3,143.14 × 863.35
  4. Step 4: Simplify right side
    2,095.99x = 2,713,629.92
  5. Step 5: Solve for x
    x = 2,713,629.92/2,095.99
  6. Step 6: Final answer
    x = 1,294.68

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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.