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Finding the Fourth Proportional to 2,684.16, 4,034.16 and 2,224.86

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Solution

The fourth proportional to 2,684.16, 4,034.16 and 2,224.86 is: 3,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.16 : 4,034.16 = 2,224.86 : x
  2. Step 2: Convert to fraction form
    2,684.16/4,034.16 = 2,224.86/x
  3. Step 3: Cross multiply
    2,684.16x = 4,034.16 × 2,224.86
  4. Step 4: Simplify right side
    2,684.16x = 8,975,441.22
  5. Step 5: Solve for x
    x = 8,975,441.22/2,684.16
  6. Step 6: Final answer
    x = 3,343.85

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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.