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Finding the Fourth Proportional to 1,536.14, 2,304.22 and 381.90

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Solution

The fourth proportional to 1,536.14, 2,304.22 and 381.90 is: 572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.14 : 2,304.22 = 381.90 : x
  2. Step 2: Convert to fraction form
    1,536.14/2,304.22 = 381.90/x
  3. Step 3: Cross multiply
    1,536.14x = 2,304.22 × 381.90
  4. Step 4: Simplify right side
    1,536.14x = 879,981.62
  5. Step 5: Solve for x
    x = 879,981.62/1,536.14
  6. Step 6: Final answer
    x = 572.85

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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.