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Finding the Fourth Proportional to 2,419.13, 3,629.24 and 880.13

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Solution

The fourth proportional to 2,419.13, 3,629.24 and 880.13 is: 1,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.13 : 3,629.24 = 880.13 : x
  2. Step 2: Convert to fraction form
    2,419.13/3,629.24 = 880.13/x
  3. Step 3: Cross multiply
    2,419.13x = 3,629.24 × 880.13
  4. Step 4: Simplify right side
    2,419.13x = 3,194,180.45
  5. Step 5: Solve for x
    x = 3,194,180.45/2,419.13
  6. Step 6: Final answer
    x = 1,320.39

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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.