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Finding the Fourth Proportional to 3,343.84, 5,016.38 and 1,264.45

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Solution

The fourth proportional to 3,343.84, 5,016.38 and 1,264.45 is: 1,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.84 : 5,016.38 = 1,264.45 : x
  2. Step 2: Convert to fraction form
    3,343.84/5,016.38 = 1,264.45/x
  3. Step 3: Cross multiply
    3,343.84x = 5,016.38 × 1,264.45
  4. Step 4: Simplify right side
    3,343.84x = 6,342,961.69
  5. Step 5: Solve for x
    x = 6,342,961.69/3,343.84
  6. Step 6: Final answer
    x = 1,896.91

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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.