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Finding the Fourth Proportional to 2,706.28, 3,734.67 and 1,464.28

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Solution

The fourth proportional to 2,706.28, 3,734.67 and 1,464.28 is: 2,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.28 : 3,734.67 = 1,464.28 : x
  2. Step 2: Convert to fraction form
    2,706.28/3,734.67 = 1,464.28/x
  3. Step 3: Cross multiply
    2,706.28x = 3,734.67 × 1,464.28
  4. Step 4: Simplify right side
    2,706.28x = 5,468,607.26
  5. Step 5: Solve for x
    x = 5,468,607.26/2,706.28
  6. Step 6: Final answer
    x = 2,020.71

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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.