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Finding the Fourth Proportional to 2,331.84, 3,497.70 and 1,099.82

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Solution

The fourth proportional to 2,331.84, 3,497.70 and 1,099.82 is: 1,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.84 : 3,497.70 = 1,099.82 : x
  2. Step 2: Convert to fraction form
    2,331.84/3,497.70 = 1,099.82/x
  3. Step 3: Cross multiply
    2,331.84x = 3,497.70 × 1,099.82
  4. Step 4: Simplify right side
    2,331.84x = 3,846,840.41
  5. Step 5: Solve for x
    x = 3,846,840.41/2,331.84
  6. Step 6: Final answer
    x = 1,649.70

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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.