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Finding the Fourth Proportional to 3,203.16, 4,805.22 and 1,123.41

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Solution

The fourth proportional to 3,203.16, 4,805.22 and 1,123.41 is: 1,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.16 : 4,805.22 = 1,123.41 : x
  2. Step 2: Convert to fraction form
    3,203.16/4,805.22 = 1,123.41/x
  3. Step 3: Cross multiply
    3,203.16x = 4,805.22 × 1,123.41
  4. Step 4: Simplify right side
    3,203.16x = 5,398,232.20
  5. Step 5: Solve for x
    x = 5,398,232.20/3,203.16
  6. Step 6: Final answer
    x = 1,685.28

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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.