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Finding the Fourth Proportional to 3,203.43, 4,807.31 and 1,123.46

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Solution

The fourth proportional to 3,203.43, 4,807.31 and 1,123.46 is: 1,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.43 : 4,807.31 = 1,123.46 : x
  2. Step 2: Convert to fraction form
    3,203.43/4,807.31 = 1,123.46/x
  3. Step 3: Cross multiply
    3,203.43x = 4,807.31 × 1,123.46
  4. Step 4: Simplify right side
    3,203.43x = 5,400,820.49
  5. Step 5: Solve for x
    x = 5,400,820.49/3,203.43
  6. Step 6: Final answer
    x = 1,685.95

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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.