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Finding the Fourth Proportional to 1,536.75, 2,305.17 and 382.50

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Solution

The fourth proportional to 1,536.75, 2,305.17 and 382.50 is: 573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.75 : 2,305.17 = 382.50 : x
  2. Step 2: Convert to fraction form
    1,536.75/2,305.17 = 382.50/x
  3. Step 3: Cross multiply
    1,536.75x = 2,305.17 × 382.50
  4. Step 4: Simplify right side
    1,536.75x = 881,727.53
  5. Step 5: Solve for x
    x = 881,727.53/1,536.75
  6. Step 6: Final answer
    x = 573.76

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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.