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Finding the Fourth Proportional to 2,497.82, 3,747.53 and 1,199.38

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Solution

The fourth proportional to 2,497.82, 3,747.53 and 1,199.38 is: 1,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.82 : 3,747.53 = 1,199.38 : x
  2. Step 2: Convert to fraction form
    2,497.82/3,747.53 = 1,199.38/x
  3. Step 3: Cross multiply
    2,497.82x = 3,747.53 × 1,199.38
  4. Step 4: Simplify right side
    2,497.82x = 4,494,712.53
  5. Step 5: Solve for x
    x = 4,494,712.53/2,497.82
  6. Step 6: Final answer
    x = 1,799.45

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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.