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Finding the Fourth Proportional to 4,840.50, 7,260.78 and 1,377.78

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Solution

The fourth proportional to 4,840.50, 7,260.78 and 1,377.78 is: 2,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.50 : 7,260.78 = 1,377.78 : x
  2. Step 2: Convert to fraction form
    4,840.50/7,260.78 = 1,377.78/x
  3. Step 3: Cross multiply
    4,840.50x = 7,260.78 × 1,377.78
  4. Step 4: Simplify right side
    4,840.50x = 10,003,757.47
  5. Step 5: Solve for x
    x = 10,003,757.47/4,840.50
  6. Step 6: Final answer
    x = 2,066.68

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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.