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Finding the Fourth Proportional to 2,301.77, 3,450.75 and 839.99

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Solution

The fourth proportional to 2,301.77, 3,450.75 and 839.99 is: 1,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.77 : 3,450.75 = 839.99 : x
  2. Step 2: Convert to fraction form
    2,301.77/3,450.75 = 839.99/x
  3. Step 3: Cross multiply
    2,301.77x = 3,450.75 × 839.99
  4. Step 4: Simplify right side
    2,301.77x = 2,898,578.24
  5. Step 5: Solve for x
    x = 2,898,578.24/2,301.77
  6. Step 6: Final answer
    x = 1,259.29

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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.