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Finding the Fourth Proportional to 2,401.52, 3,602.76 and 758.22

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Solution

The fourth proportional to 2,401.52, 3,602.76 and 758.22 is: 1,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.52 : 3,602.76 = 758.22 : x
  2. Step 2: Convert to fraction form
    2,401.52/3,602.76 = 758.22/x
  3. Step 3: Cross multiply
    2,401.52x = 3,602.76 × 758.22
  4. Step 4: Simplify right side
    2,401.52x = 2,731,684.69
  5. Step 5: Solve for x
    x = 2,731,684.69/2,401.52
  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.