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Finding the Fourth Proportional to 2,484.83, 3,727.25 and 635.88

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Solution

The fourth proportional to 2,484.83, 3,727.25 and 635.88 is: 953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.83 : 3,727.25 = 635.88 : x
  2. Step 2: Convert to fraction form
    2,484.83/3,727.25 = 635.88/x
  3. Step 3: Cross multiply
    2,484.83x = 3,727.25 × 635.88
  4. Step 4: Simplify right side
    2,484.83x = 2,370,083.73
  5. Step 5: Solve for x
    x = 2,370,083.73/2,484.83
  6. Step 6: Final answer
    x = 953.82

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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.