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Finding the Fourth Proportional to 2,175.96, 3,243.20 and 2,052.96

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Solution

The fourth proportional to 2,175.96, 3,243.20 and 2,052.96 is: 3,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.96 : 3,243.20 = 2,052.96 : x
  2. Step 2: Convert to fraction form
    2,175.96/3,243.20 = 2,052.96/x
  3. Step 3: Cross multiply
    2,175.96x = 3,243.20 × 2,052.96
  4. Step 4: Simplify right side
    2,175.96x = 6,658,159.87
  5. Step 5: Solve for x
    x = 6,658,159.87/2,175.96
  6. Step 6: Final answer
    x = 3,059.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.