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Finding the Fourth Proportional to 2,401.02, 3,600.99 and 862.02

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Solution

The fourth proportional to 2,401.02, 3,600.99 and 862.02 is: 1,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.02 : 3,600.99 = 862.02 : x
  2. Step 2: Convert to fraction form
    2,401.02/3,600.99 = 862.02/x
  3. Step 3: Cross multiply
    2,401.02x = 3,600.99 × 862.02
  4. Step 4: Simplify right side
    2,401.02x = 3,104,125.40
  5. Step 5: Solve for x
    x = 3,104,125.40/2,401.02
  6. Step 6: Final answer
    x = 1,292.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.