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Finding the Fourth Proportional to 2,576.26, 3,864.66 and 845.02

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Solution

The fourth proportional to 2,576.26, 3,864.66 and 845.02 is: 1,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.26 : 3,864.66 = 845.02 : x
  2. Step 2: Convert to fraction form
    2,576.26/3,864.66 = 845.02/x
  3. Step 3: Cross multiply
    2,576.26x = 3,864.66 × 845.02
  4. Step 4: Simplify right side
    2,576.26x = 3,265,714.99
  5. Step 5: Solve for x
    x = 3,265,714.99/2,576.26
  6. Step 6: Final answer
    x = 1,267.62

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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.