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Finding the Fourth Proportional to 1,536.37, 2,304.54 and 382.12

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Solution

The fourth proportional to 1,536.37, 2,304.54 and 382.12 is: 573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.37 : 2,304.54 = 382.12 : x
  2. Step 2: Convert to fraction form
    1,536.37/2,304.54 = 382.12/x
  3. Step 3: Cross multiply
    1,536.37x = 2,304.54 × 382.12
  4. Step 4: Simplify right side
    1,536.37x = 880,605.06
  5. Step 5: Solve for x
    x = 880,605.06/1,536.37
  6. Step 6: Final answer
    x = 573.17

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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.