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Finding the Fourth Proportional to 3,465.99, 4,782.81 and 2,049.60

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Solution

The fourth proportional to 3,465.99, 4,782.81 and 2,049.60 is: 2,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.99 : 4,782.81 = 2,049.60 : x
  2. Step 2: Convert to fraction form
    3,465.99/4,782.81 = 2,049.60/x
  3. Step 3: Cross multiply
    3,465.99x = 4,782.81 × 2,049.60
  4. Step 4: Simplify right side
    3,465.99x = 9,802,847.38
  5. Step 5: Solve for x
    x = 9,802,847.38/3,465.99
  6. Step 6: Final answer
    x = 2,828.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.