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Finding the Fourth Proportional to 3,203.22, 4,420.38 and 1,805.94

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Solution

The fourth proportional to 3,203.22, 4,420.38 and 1,805.94 is: 2,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.22 : 4,420.38 = 1,805.94 : x
  2. Step 2: Convert to fraction form
    3,203.22/4,420.38 = 1,805.94/x
  3. Step 3: Cross multiply
    3,203.22x = 4,420.38 × 1,805.94
  4. Step 4: Simplify right side
    3,203.22x = 7,982,941.06
  5. Step 5: Solve for x
    x = 7,982,941.06/3,203.22
  6. Step 6: Final answer
    x = 2,492.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.