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Finding the Fourth Proportional to 2,401.90, 3,604.24 and 940.98

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Solution

The fourth proportional to 2,401.90, 3,604.24 and 940.98 is: 1,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.90 : 3,604.24 = 940.98 : x
  2. Step 2: Convert to fraction form
    2,401.90/3,604.24 = 940.98/x
  3. Step 3: Cross multiply
    2,401.90x = 3,604.24 × 940.98
  4. Step 4: Simplify right side
    2,401.90x = 3,391,517.76
  5. Step 5: Solve for x
    x = 3,391,517.76/2,401.90
  6. Step 6: Final answer
    x = 1,412.01

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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.