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Finding the Fourth Proportional to 2,175.50, 3,265.68 and 1,023.68

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Solution

The fourth proportional to 2,175.50, 3,265.68 and 1,023.68 is: 1,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.50 : 3,265.68 = 1,023.68 : x
  2. Step 2: Convert to fraction form
    2,175.50/3,265.68 = 1,023.68/x
  3. Step 3: Cross multiply
    2,175.50x = 3,265.68 × 1,023.68
  4. Step 4: Simplify right side
    2,175.50x = 3,343,011.30
  5. Step 5: Solve for x
    x = 3,343,011.30/2,175.50
  6. Step 6: Final answer
    x = 1,536.66

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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.