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Finding the Fourth Proportional to 2,885.92, 4,330.40 and 2,096.52

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Solution

The fourth proportional to 2,885.92, 4,330.40 and 2,096.52 is: 3,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.92 : 4,330.40 = 2,096.52 : x
  2. Step 2: Convert to fraction form
    2,885.92/4,330.40 = 2,096.52/x
  3. Step 3: Cross multiply
    2,885.92x = 4,330.40 × 2,096.52
  4. Step 4: Simplify right side
    2,885.92x = 9,078,770.21
  5. Step 5: Solve for x
    x = 9,078,770.21/2,885.92
  6. Step 6: Final answer
    x = 3,145.88

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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.