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Finding the Fourth Proportional to 2,175.96, 3,267.18 and 1,527.96

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Solution

The fourth proportional to 2,175.96, 3,267.18 and 1,527.96 is: 2,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.96 : 3,267.18 = 1,527.96 : x
  2. Step 2: Convert to fraction form
    2,175.96/3,267.18 = 1,527.96/x
  3. Step 3: Cross multiply
    2,175.96x = 3,267.18 × 1,527.96
  4. Step 4: Simplify right side
    2,175.96x = 4,992,120.35
  5. Step 5: Solve for x
    x = 4,992,120.35/2,175.96
  6. Step 6: Final answer
    x = 2,294.22

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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.