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Finding the Fourth Proportional to 2,331.84, 3,497.20 and 687.94

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Solution

The fourth proportional to 2,331.84, 3,497.20 and 687.94 is: 1,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.84 : 3,497.20 = 687.94 : x
  2. Step 2: Convert to fraction form
    2,331.84/3,497.20 = 687.94/x
  3. Step 3: Cross multiply
    2,331.84x = 3,497.20 × 687.94
  4. Step 4: Simplify right side
    2,331.84x = 2,405,863.77
  5. Step 5: Solve for x
    x = 2,405,863.77/2,331.84
  6. Step 6: Final answer
    x = 1,031.74

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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.