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Finding the Fourth Proportional to 3,208.93, 4,813.56 and 1,017.83

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Solution

The fourth proportional to 3,208.93, 4,813.56 and 1,017.83 is: 1,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.93 : 4,813.56 = 1,017.83 : x
  2. Step 2: Convert to fraction form
    3,208.93/4,813.56 = 1,017.83/x
  3. Step 3: Cross multiply
    3,208.93x = 4,813.56 × 1,017.83
  4. Step 4: Simplify right side
    3,208.93x = 4,899,359.16
  5. Step 5: Solve for x
    x = 4,899,359.16/3,208.93
  6. Step 6: Final answer
    x = 1,526.79

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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.