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Finding the Fourth Proportional to 2,665.98, 3,998.97 and 934.20

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Solution

The fourth proportional to 2,665.98, 3,998.97 and 934.20 is: 1,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.98 : 3,998.97 = 934.20 : x
  2. Step 2: Convert to fraction form
    2,665.98/3,998.97 = 934.20/x
  3. Step 3: Cross multiply
    2,665.98x = 3,998.97 × 934.20
  4. Step 4: Simplify right side
    2,665.98x = 3,735,837.77
  5. Step 5: Solve for x
    x = 3,735,837.77/2,665.98
  6. Step 6: Final answer
    x = 1,401.30

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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.