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Finding the Fourth Proportional to 4,600.19, 6,900.71 and 1,480.48

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Solution

The fourth proportional to 4,600.19, 6,900.71 and 1,480.48 is: 2,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.19 : 6,900.71 = 1,480.48 : x
  2. Step 2: Convert to fraction form
    4,600.19/6,900.71 = 1,480.48/x
  3. Step 3: Cross multiply
    4,600.19x = 6,900.71 × 1,480.48
  4. Step 4: Simplify right side
    4,600.19x = 10,216,338.49
  5. Step 5: Solve for x
    x = 10,216,338.49/4,600.19
  6. Step 6: Final answer
    x = 2,220.85

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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.