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Finding the Fourth Proportional to 3,208.93, 4,813.19 and 1,019.23

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Solution

The fourth proportional to 3,208.93, 4,813.19 and 1,019.23 is: 1,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.93 : 4,813.19 = 1,019.23 : x
  2. Step 2: Convert to fraction form
    3,208.93/4,813.19 = 1,019.23/x
  3. Step 3: Cross multiply
    3,208.93x = 4,813.19 × 1,019.23
  4. Step 4: Simplify right side
    3,208.93x = 4,905,718.48
  5. Step 5: Solve for x
    x = 4,905,718.48/3,208.93
  6. Step 6: Final answer
    x = 1,528.77

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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.