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Finding the Fourth Proportional to 2,401.20, 3,602.49 and 758.07

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Solution

The fourth proportional to 2,401.20, 3,602.49 and 758.07 is: 1,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.20 : 3,602.49 = 758.07 : x
  2. Step 2: Convert to fraction form
    2,401.20/3,602.49 = 758.07/x
  3. Step 3: Cross multiply
    2,401.20x = 3,602.49 × 758.07
  4. Step 4: Simplify right side
    2,401.20x = 2,730,939.59
  5. Step 5: Solve for x
    x = 2,730,939.59/2,401.20
  6. Step 6: Final answer
    x = 1,137.32

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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.