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Finding the Fourth Proportional to 2,401.58, 3,602.81 and 757.98

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Solution

The fourth proportional to 2,401.58, 3,602.81 and 757.98 is: 1,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.58 : 3,602.81 = 757.98 : x
  2. Step 2: Convert to fraction form
    2,401.58/3,602.81 = 757.98/x
  3. Step 3: Cross multiply
    2,401.58x = 3,602.81 × 757.98
  4. Step 4: Simplify right side
    2,401.58x = 2,730,859.82
  5. Step 5: Solve for x
    x = 2,730,859.82/2,401.58
  6. Step 6: Final answer
    x = 1,137.11

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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.