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Finding the Fourth Proportional to 2,576.56, 3,861.42 and 1,345.01

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Solution

The fourth proportional to 2,576.56, 3,861.42 and 1,345.01 is: 2,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.56 : 3,861.42 = 1,345.01 : x
  2. Step 2: Convert to fraction form
    2,576.56/3,861.42 = 1,345.01/x
  3. Step 3: Cross multiply
    2,576.56x = 3,861.42 × 1,345.01
  4. Step 4: Simplify right side
    2,576.56x = 5,193,631.73
  5. Step 5: Solve for x
    x = 5,193,631.73/2,576.56
  6. Step 6: Final answer
    x = 2,015.72

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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.