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Finding the Fourth Proportional to 2,576.10, 3,864.12 and 628.32

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Solution

The fourth proportional to 2,576.10, 3,864.12 and 628.32 is: 942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.10 : 3,864.12 = 628.32 : x
  2. Step 2: Convert to fraction form
    2,576.10/3,864.12 = 628.32/x
  3. Step 3: Cross multiply
    2,576.10x = 3,864.12 × 628.32
  4. Step 4: Simplify right side
    2,576.10x = 2,427,903.88
  5. Step 5: Solve for x
    x = 2,427,903.88/2,576.10
  6. Step 6: Final answer
    x = 942.47

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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.