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Finding the Fourth Proportional to 2,665.58, 3,997.76 and 1,205.15

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Solution

The fourth proportional to 2,665.58, 3,997.76 and 1,205.15 is: 1,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.58 : 3,997.76 = 1,205.15 : x
  2. Step 2: Convert to fraction form
    2,665.58/3,997.76 = 1,205.15/x
  3. Step 3: Cross multiply
    2,665.58x = 3,997.76 × 1,205.15
  4. Step 4: Simplify right side
    2,665.58x = 4,817,874.45
  5. Step 5: Solve for x
    x = 4,817,874.45/2,665.58
  6. Step 6: Final answer
    x = 1,807.44

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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.