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Finding the Fourth Proportional to 1,632.73, 2,449.14 and 537.17

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Solution

The fourth proportional to 1,632.73, 2,449.14 and 537.17 is: 805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.73 : 2,449.14 = 537.17 : x
  2. Step 2: Convert to fraction form
    1,632.73/2,449.14 = 537.17/x
  3. Step 3: Cross multiply
    1,632.73x = 2,449.14 × 537.17
  4. Step 4: Simplify right side
    1,632.73x = 1,315,604.53
  5. Step 5: Solve for x
    x = 1,315,604.53/1,632.73
  6. Step 6: Final answer
    x = 805.77

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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.