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Finding the Fourth Proportional to 2,241.15, 3,354.84 and 1,416.57

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Solution

The fourth proportional to 2,241.15, 3,354.84 and 1,416.57 is: 2,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.15 : 3,354.84 = 1,416.57 : x
  2. Step 2: Convert to fraction form
    2,241.15/3,354.84 = 1,416.57/x
  3. Step 3: Cross multiply
    2,241.15x = 3,354.84 × 1,416.57
  4. Step 4: Simplify right side
    2,241.15x = 4,752,365.70
  5. Step 5: Solve for x
    x = 4,752,365.70/2,241.15
  6. Step 6: Final answer
    x = 2,120.50

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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.