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Finding the Fourth Proportional to 1,480.90, 2,219.80 and 1,069.85

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Solution

The fourth proportional to 1,480.90, 2,219.80 and 1,069.85 is: 1,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.90 : 2,219.80 = 1,069.85 : x
  2. Step 2: Convert to fraction form
    1,480.90/2,219.80 = 1,069.85/x
  3. Step 3: Cross multiply
    1,480.90x = 2,219.80 × 1,069.85
  4. Step 4: Simplify right side
    1,480.90x = 2,374,847.68
  5. Step 5: Solve for x
    x = 2,374,847.68/1,480.90
  6. Step 6: Final answer
    x = 1,603.65

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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.