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Finding the Fourth Proportional to 2,576.96, 3,864.71 and 995.31

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Solution

The fourth proportional to 2,576.96, 3,864.71 and 995.31 is: 1,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.96 : 3,864.71 = 995.31 : x
  2. Step 2: Convert to fraction form
    2,576.96/3,864.71 = 995.31/x
  3. Step 3: Cross multiply
    2,576.96x = 3,864.71 × 995.31
  4. Step 4: Simplify right side
    2,576.96x = 3,846,596.29
  5. Step 5: Solve for x
    x = 3,846,596.29/2,576.96
  6. Step 6: Final answer
    x = 1,492.69

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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.