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Finding the Fourth Proportional to 2,706.13, 3,734.46 and 1,464.13

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Solution

The fourth proportional to 2,706.13, 3,734.46 and 1,464.13 is: 2,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.13 : 3,734.46 = 1,464.13 : x
  2. Step 2: Convert to fraction form
    2,706.13/3,734.46 = 1,464.13/x
  3. Step 3: Cross multiply
    2,706.13x = 3,734.46 × 1,464.13
  4. Step 4: Simplify right side
    2,706.13x = 5,467,708.93
  5. Step 5: Solve for x
    x = 5,467,708.93/2,706.13
  6. Step 6: Final answer
    x = 2,020.49

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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.