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Finding the Fourth Proportional to 1,536.34, 2,304.53 and 382.09

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Solution

The fourth proportional to 1,536.34, 2,304.53 and 382.09 is: 573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.34 : 2,304.53 = 382.09 : x
  2. Step 2: Convert to fraction form
    1,536.34/2,304.53 = 382.09/x
  3. Step 3: Cross multiply
    1,536.34x = 2,304.53 × 382.09
  4. Step 4: Simplify right side
    1,536.34x = 880,537.87
  5. Step 5: Solve for x
    x = 880,537.87/1,536.34
  6. Step 6: Final answer
    x = 573.14

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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.