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Finding the Fourth Proportional to 2,480.15, 3,719.81 and 919.79

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Solution

The fourth proportional to 2,480.15, 3,719.81 and 919.79 is: 1,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.15 : 3,719.81 = 919.79 : x
  2. Step 2: Convert to fraction form
    2,480.15/3,719.81 = 919.79/x
  3. Step 3: Cross multiply
    2,480.15x = 3,719.81 × 919.79
  4. Step 4: Simplify right side
    2,480.15x = 3,421,436.52
  5. Step 5: Solve for x
    x = 3,421,436.52/2,480.15
  6. Step 6: Final answer
    x = 1,379.53

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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.