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Finding the Fourth Proportional to 2,301.99, 3,450.10 and 1,813.11

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Solution

The fourth proportional to 2,301.99, 3,450.10 and 1,813.11 is: 2,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.99 : 3,450.10 = 1,813.11 : x
  2. Step 2: Convert to fraction form
    2,301.99/3,450.10 = 1,813.11/x
  3. Step 3: Cross multiply
    2,301.99x = 3,450.10 × 1,813.11
  4. Step 4: Simplify right side
    2,301.99x = 6,255,410.81
  5. Step 5: Solve for x
    x = 6,255,410.81/2,301.99
  6. Step 6: Final answer
    x = 2,717.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.