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Finding the Fourth Proportional to 2,401.06, 3,599.82 and 939.46

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Solution

The fourth proportional to 2,401.06, 3,599.82 and 939.46 is: 1,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.06 : 3,599.82 = 939.46 : x
  2. Step 2: Convert to fraction form
    2,401.06/3,599.82 = 939.46/x
  3. Step 3: Cross multiply
    2,401.06x = 3,599.82 × 939.46
  4. Step 4: Simplify right side
    2,401.06x = 3,381,886.90
  5. Step 5: Solve for x
    x = 3,381,886.90/2,401.06
  6. Step 6: Final answer
    x = 1,408.50

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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.