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Finding the Fourth Proportional to 3,361.90, 4,643.32 and 2,241

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Solution

The fourth proportional to 3,361.90, 4,643.32 and 2,241 is: 3,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.90 : 4,643.32 = 2,241 : x
  2. Step 2: Convert to fraction form
    3,361.90/4,643.32 = 2,241/x
  3. Step 3: Cross multiply
    3,361.90x = 4,643.32 × 2,241
  4. Step 4: Simplify right side
    3,361.90x = 10,405,680.12
  5. Step 5: Solve for x
    x = 10,405,680.12/3,361.90
  6. Step 6: Final answer
    x = 3,095.18

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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.