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Finding the Fourth Proportional to 2,247.84, 3,371.31 and 604.38

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Solution

The fourth proportional to 2,247.84, 3,371.31 and 604.38 is: 906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.84 : 3,371.31 = 604.38 : x
  2. Step 2: Convert to fraction form
    2,247.84/3,371.31 = 604.38/x
  3. Step 3: Cross multiply
    2,247.84x = 3,371.31 × 604.38
  4. Step 4: Simplify right side
    2,247.84x = 2,037,552.34
  5. Step 5: Solve for x
    x = 2,037,552.34/2,247.84
  6. Step 6: Final answer
    x = 906.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.