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Finding the Fourth Proportional to 2,447.84, 3,377.09 and 1,609.00

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Solution

The fourth proportional to 2,447.84, 3,377.09 and 1,609.00 is: 2,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.84 : 3,377.09 = 1,609.00 : x
  2. Step 2: Convert to fraction form
    2,447.84/3,377.09 = 1,609.00/x
  3. Step 3: Cross multiply
    2,447.84x = 3,377.09 × 1,609.00
  4. Step 4: Simplify right side
    2,447.84x = 5,433,733.39
  5. Step 5: Solve for x
    x = 5,433,733.39/2,447.84
  6. Step 6: Final answer
    x = 2,219.81

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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.