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Finding the Fourth Proportional to 3,203.50, 4,803.70 and 1,123.21

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Solution

The fourth proportional to 3,203.50, 4,803.70 and 1,123.21 is: 1,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.50 : 4,803.70 = 1,123.21 : x
  2. Step 2: Convert to fraction form
    3,203.50/4,803.70 = 1,123.21/x
  3. Step 3: Cross multiply
    3,203.50x = 4,803.70 × 1,123.21
  4. Step 4: Simplify right side
    3,203.50x = 5,395,558.26
  5. Step 5: Solve for x
    x = 5,395,558.26/3,203.50
  6. Step 6: Final answer
    x = 1,684.27

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Why These Related Problems?

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