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Finding the Fourth Proportional to 2,863.20, 3,951 and 1,684.20

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Solution

The fourth proportional to 2,863.20, 3,951 and 1,684.20 is: 2,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.20 : 3,951 = 1,684.20 : x
  2. Step 2: Convert to fraction form
    2,863.20/3,951 = 1,684.20/x
  3. Step 3: Cross multiply
    2,863.20x = 3,951 × 1,684.20
  4. Step 4: Simplify right side
    2,863.20x = 6,654,274.20
  5. Step 5: Solve for x
    x = 6,654,274.20/2,863.20
  6. Step 6: Final answer
    x = 2,324.07

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Double scale
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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.