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Finding the Fourth Proportional to 2,241.92, 3,364.05 and 1,512.92

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Solution

The fourth proportional to 2,241.92, 3,364.05 and 1,512.92 is: 2,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.92 : 3,364.05 = 1,512.92 : x
  2. Step 2: Convert to fraction form
    2,241.92/3,364.05 = 1,512.92/x
  3. Step 3: Cross multiply
    2,241.92x = 3,364.05 × 1,512.92
  4. Step 4: Simplify right side
    2,241.92x = 5,089,538.53
  5. Step 5: Solve for x
    x = 5,089,538.53/2,241.92
  6. Step 6: Final answer
    x = 2,270.17

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1.5x scale

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.