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Finding the Fourth Proportional to 2,401.62, 3,602.56 and 758.29

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Solution

The fourth proportional to 2,401.62, 3,602.56 and 758.29 is: 1,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.62 : 3,602.56 = 758.29 : x
  2. Step 2: Convert to fraction form
    2,401.62/3,602.56 = 758.29/x
  3. Step 3: Cross multiply
    2,401.62x = 3,602.56 × 758.29
  4. Step 4: Simplify right side
    2,401.62x = 2,731,785.22
  5. Step 5: Solve for x
    x = 2,731,785.22/2,401.62
  6. Step 6: Final answer
    x = 1,137.48

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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.