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Finding the Fourth Proportional to 3,209.99, 4,813.76 and 1,261.13

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Solution

The fourth proportional to 3,209.99, 4,813.76 and 1,261.13 is: 1,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.99 : 4,813.76 = 1,261.13 : x
  2. Step 2: Convert to fraction form
    3,209.99/4,813.76 = 1,261.13/x
  3. Step 3: Cross multiply
    3,209.99x = 4,813.76 × 1,261.13
  4. Step 4: Simplify right side
    3,209.99x = 6,070,756.23
  5. Step 5: Solve for x
    x = 6,070,756.23/3,209.99
  6. Step 6: Final answer
    x = 1,891.21

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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.