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Finding the Fourth Proportional to 2,706.88, 3,735.49 and 1,464.88

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Solution

The fourth proportional to 2,706.88, 3,735.49 and 1,464.88 is: 2,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.88 : 3,735.49 = 1,464.88 : x
  2. Step 2: Convert to fraction form
    2,706.88/3,735.49 = 1,464.88/x
  3. Step 3: Cross multiply
    2,706.88x = 3,735.49 × 1,464.88
  4. Step 4: Simplify right side
    2,706.88x = 5,472,044.59
  5. Step 5: Solve for x
    x = 5,472,044.59/2,706.88
  6. Step 6: Final answer
    x = 2,021.53

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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.