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Finding the Fourth Proportional to 3,199.01, 4,415.46 and 2,082.74

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Solution

The fourth proportional to 3,199.01, 4,415.46 and 2,082.74 is: 2,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.01 : 4,415.46 = 2,082.74 : x
  2. Step 2: Convert to fraction form
    3,199.01/4,415.46 = 2,082.74/x
  3. Step 3: Cross multiply
    3,199.01x = 4,415.46 × 2,082.74
  4. Step 4: Simplify right side
    3,199.01x = 9,196,255.16
  5. Step 5: Solve for x
    x = 9,196,255.16/3,199.01
  6. Step 6: Final answer
    x = 2,874.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.