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Finding the Fourth Proportional to 2,384.74, 3,291 and 1,336.78

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Solution

The fourth proportional to 2,384.74, 3,291 and 1,336.78 is: 1,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.74 : 3,291 = 1,336.78 : x
  2. Step 2: Convert to fraction form
    2,384.74/3,291 = 1,336.78/x
  3. Step 3: Cross multiply
    2,384.74x = 3,291 × 1,336.78
  4. Step 4: Simplify right side
    2,384.74x = 4,399,342.98
  5. Step 5: Solve for x
    x = 4,399,342.98/2,384.74
  6. Step 6: Final answer
    x = 1,844.79

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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.