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Finding the Fourth Proportional to 3,203.87, 4,802.94 and 1,122.44

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Solution

The fourth proportional to 3,203.87, 4,802.94 and 1,122.44 is: 1,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.87 : 4,802.94 = 1,122.44 : x
  2. Step 2: Convert to fraction form
    3,203.87/4,802.94 = 1,122.44/x
  3. Step 3: Cross multiply
    3,203.87x = 4,802.94 × 1,122.44
  4. Step 4: Simplify right side
    3,203.87x = 5,390,987.96
  5. Step 5: Solve for x
    x = 5,390,987.96/3,203.87
  6. Step 6: Final answer
    x = 1,682.65

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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.