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Finding the Fourth Proportional to 3,069.33, 4,603.38 and 1,195.22

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Solution

The fourth proportional to 3,069.33, 4,603.38 and 1,195.22 is: 1,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.33 : 4,603.38 = 1,195.22 : x
  2. Step 2: Convert to fraction form
    3,069.33/4,603.38 = 1,195.22/x
  3. Step 3: Cross multiply
    3,069.33x = 4,603.38 × 1,195.22
  4. Step 4: Simplify right side
    3,069.33x = 5,502,028.83
  5. Step 5: Solve for x
    x = 5,502,028.83/3,069.33
  6. Step 6: Final answer
    x = 1,792.58

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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.