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Finding the Fourth Proportional to 2,863.50, 3,951.02 and 1,684.14

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Solution

The fourth proportional to 2,863.50, 3,951.02 and 1,684.14 is: 2,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.50 : 3,951.02 = 1,684.14 : x
  2. Step 2: Convert to fraction form
    2,863.50/3,951.02 = 1,684.14/x
  3. Step 3: Cross multiply
    2,863.50x = 3,951.02 × 1,684.14
  4. Step 4: Simplify right side
    2,863.50x = 6,654,070.82
  5. Step 5: Solve for x
    x = 6,654,070.82/2,863.50
  6. Step 6: Final answer
    x = 2,323.75

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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.