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Finding the Fourth Proportional to 2,301.25, 3,449.49 and 913.99

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Solution

The fourth proportional to 2,301.25, 3,449.49 and 913.99 is: 1,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.25 : 3,449.49 = 913.99 : x
  2. Step 2: Convert to fraction form
    2,301.25/3,449.49 = 913.99/x
  3. Step 3: Cross multiply
    2,301.25x = 3,449.49 × 913.99
  4. Step 4: Simplify right side
    2,301.25x = 3,152,799.37
  5. Step 5: Solve for x
    x = 3,152,799.37/2,301.25
  6. Step 6: Final answer
    x = 1,370.04

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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.