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Finding the Fourth Proportional to 2,771.40, 4,152.70 and 2,220.68

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Solution

The fourth proportional to 2,771.40, 4,152.70 and 2,220.68 is: 3,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.40 : 4,152.70 = 2,220.68 : x
  2. Step 2: Convert to fraction form
    2,771.40/4,152.70 = 2,220.68/x
  3. Step 3: Cross multiply
    2,771.40x = 4,152.70 × 2,220.68
  4. Step 4: Simplify right side
    2,771.40x = 9,221,817.84
  5. Step 5: Solve for x
    x = 9,221,817.84/2,771.40
  6. Step 6: Final answer
    x = 3,327.49

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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.