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Finding the Fourth Proportional to 2,247.74, 3,371.42 and 604.28

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Solution

The fourth proportional to 2,247.74, 3,371.42 and 604.28 is: 906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.74 : 3,371.42 = 604.28 : x
  2. Step 2: Convert to fraction form
    2,247.74/3,371.42 = 604.28/x
  3. Step 3: Cross multiply
    2,247.74x = 3,371.42 × 604.28
  4. Step 4: Simplify right side
    2,247.74x = 2,037,264.82
  5. Step 5: Solve for x
    x = 2,037,264.82/2,247.74
  6. Step 6: Final answer
    x = 906.36

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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.