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Finding the Fourth Proportional to 3,203.05, 4,803.93 and 1,123.03

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Solution

The fourth proportional to 3,203.05, 4,803.93 and 1,123.03 is: 1,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.05 : 4,803.93 = 1,123.03 : x
  2. Step 2: Convert to fraction form
    3,203.05/4,803.93 = 1,123.03/x
  3. Step 3: Cross multiply
    3,203.05x = 4,803.93 × 1,123.03
  4. Step 4: Simplify right side
    3,203.05x = 5,394,957.51
  5. Step 5: Solve for x
    x = 5,394,957.51/3,203.05
  6. Step 6: Final answer
    x = 1,684.32

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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.