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Finding the Fourth Proportional to 2,665.39, 3,999.86 and 934.02

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Solution

The fourth proportional to 2,665.39, 3,999.86 and 934.02 is: 1,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.39 : 3,999.86 = 934.02 : x
  2. Step 2: Convert to fraction form
    2,665.39/3,999.86 = 934.02/x
  3. Step 3: Cross multiply
    2,665.39x = 3,999.86 × 934.02
  4. Step 4: Simplify right side
    2,665.39x = 3,735,949.24
  5. Step 5: Solve for x
    x = 3,735,949.24/2,665.39
  6. Step 6: Final answer
    x = 1,401.65

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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.