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Finding the Fourth Proportional to 2,672.68, 3,684.90 and 2,224.48

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Solution

The fourth proportional to 2,672.68, 3,684.90 and 2,224.48 is: 3,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.68 : 3,684.90 = 2,224.48 : x
  2. Step 2: Convert to fraction form
    2,672.68/3,684.90 = 2,224.48/x
  3. Step 3: Cross multiply
    2,672.68x = 3,684.90 × 2,224.48
  4. Step 4: Simplify right side
    2,672.68x = 8,196,986.35
  5. Step 5: Solve for x
    x = 8,196,986.35/2,672.68
  6. Step 6: Final answer
    x = 3,066.95

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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.