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Finding the Fourth Proportional to 3,299.85, 4,553.80 and 1,807.74

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Solution

The fourth proportional to 3,299.85, 4,553.80 and 1,807.74 is: 2,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.85 : 4,553.80 = 1,807.74 : x
  2. Step 2: Convert to fraction form
    3,299.85/4,553.80 = 1,807.74/x
  3. Step 3: Cross multiply
    3,299.85x = 4,553.80 × 1,807.74
  4. Step 4: Simplify right side
    3,299.85x = 8,232,061.38
  5. Step 5: Solve for x
    x = 8,232,061.38/3,299.85
  6. Step 6: Final answer
    x = 2,494.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.