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Finding the Fourth Proportional to 2,580.42, 3,879.18 and 2,096.84

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Solution

The fourth proportional to 2,580.42, 3,879.18 and 2,096.84 is: 3,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.42 : 3,879.18 = 2,096.84 : x
  2. Step 2: Convert to fraction form
    2,580.42/3,879.18 = 2,096.84/x
  3. Step 3: Cross multiply
    2,580.42x = 3,879.18 × 2,096.84
  4. Step 4: Simplify right side
    2,580.42x = 8,134,019.79
  5. Step 5: Solve for x
    x = 8,134,019.79/2,580.42
  6. Step 6: Final answer
    x = 3,152.21

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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.