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Finding the Fourth Proportional to 1,536.57, 2,306.64 and 757.21

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Solution

The fourth proportional to 1,536.57, 2,306.64 and 757.21 is: 1,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.57 : 2,306.64 = 757.21 : x
  2. Step 2: Convert to fraction form
    1,536.57/2,306.64 = 757.21/x
  3. Step 3: Cross multiply
    1,536.57x = 2,306.64 × 757.21
  4. Step 4: Simplify right side
    1,536.57x = 1,746,610.87
  5. Step 5: Solve for x
    x = 1,746,610.87/1,536.57
  6. Step 6: Final answer
    x = 1,136.69

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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.