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Finding the Fourth Proportional to 3,092.36, 4,630.17 and 2,264.36

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Solution

The fourth proportional to 3,092.36, 4,630.17 and 2,264.36 is: 3,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.36 : 4,630.17 = 2,264.36 : x
  2. Step 2: Convert to fraction form
    3,092.36/4,630.17 = 2,264.36/x
  3. Step 3: Cross multiply
    3,092.36x = 4,630.17 × 2,264.36
  4. Step 4: Simplify right side
    3,092.36x = 10,484,371.74
  5. Step 5: Solve for x
    x = 10,484,371.74/3,092.36
  6. Step 6: Final answer
    x = 3,390.41

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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.