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Finding the Fourth Proportional to 2,684.43, 3,701.16 and 2,214.23

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Solution

The fourth proportional to 2,684.43, 3,701.16 and 2,214.23 is: 3,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.43 : 3,701.16 = 2,214.23 : x
  2. Step 2: Convert to fraction form
    2,684.43/3,701.16 = 2,214.23/x
  3. Step 3: Cross multiply
    2,684.43x = 3,701.16 × 2,214.23
  4. Step 4: Simplify right side
    2,684.43x = 8,195,201.00
  5. Step 5: Solve for x
    x = 8,195,201.00/2,684.43
  6. Step 6: Final answer
    x = 3,052.86

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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.