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Finding the Fourth Proportional to 4,600.98, 6,900.78 and 1,480.57

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Solution

The fourth proportional to 4,600.98, 6,900.78 and 1,480.57 is: 2,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.98 : 6,900.78 = 1,480.57 : x
  2. Step 2: Convert to fraction form
    4,600.98/6,900.78 = 1,480.57/x
  3. Step 3: Cross multiply
    4,600.98x = 6,900.78 × 1,480.57
  4. Step 4: Simplify right side
    4,600.98x = 10,217,087.23
  5. Step 5: Solve for x
    x = 10,217,087.23/4,600.98
  6. Step 6: Final answer
    x = 2,220.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.