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Finding the Fourth Proportional to 2,175.46, 3,263.70 and 714.73

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Solution

The fourth proportional to 2,175.46, 3,263.70 and 714.73 is: 1,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.46 : 3,263.70 = 714.73 : x
  2. Step 2: Convert to fraction form
    2,175.46/3,263.70 = 714.73/x
  3. Step 3: Cross multiply
    2,175.46x = 3,263.70 × 714.73
  4. Step 4: Simplify right side
    2,175.46x = 2,332,664.30
  5. Step 5: Solve for x
    x = 2,332,664.30/2,175.46
  6. Step 6: Final answer
    x = 1,072.26

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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.