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Finding the Fourth Proportional to 2,402.51, 3,604.26 and 759.22

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Solution

The fourth proportional to 2,402.51, 3,604.26 and 759.22 is: 1,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.51 : 3,604.26 = 759.22 : x
  2. Step 2: Convert to fraction form
    2,402.51/3,604.26 = 759.22/x
  3. Step 3: Cross multiply
    2,402.51x = 3,604.26 × 759.22
  4. Step 4: Simplify right side
    2,402.51x = 2,736,426.28
  5. Step 5: Solve for x
    x = 2,736,426.28/2,402.51
  6. Step 6: Final answer
    x = 1,138.99

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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.