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Finding the Fourth Proportional to 2,496.84, 3,737.70 and 2,005.80

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Solution

The fourth proportional to 2,496.84, 3,737.70 and 2,005.80 is: 3,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.84 : 3,737.70 = 2,005.80 : x
  2. Step 2: Convert to fraction form
    2,496.84/3,737.70 = 2,005.80/x
  3. Step 3: Cross multiply
    2,496.84x = 3,737.70 × 2,005.80
  4. Step 4: Simplify right side
    2,496.84x = 7,497,078.66
  5. Step 5: Solve for x
    x = 7,497,078.66/2,496.84
  6. Step 6: Final answer
    x = 3,002.63

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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.