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Finding the Fourth Proportional to 2,576.44, 3,864.66 and 1,037.44

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Solution

The fourth proportional to 2,576.44, 3,864.66 and 1,037.44 is: 1,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.44 : 3,864.66 = 1,037.44 : x
  2. Step 2: Convert to fraction form
    2,576.44/3,864.66 = 1,037.44/x
  3. Step 3: Cross multiply
    2,576.44x = 3,864.66 × 1,037.44
  4. Step 4: Simplify right side
    2,576.44x = 4,009,352.87
  5. Step 5: Solve for x
    x = 4,009,352.87/2,576.44
  6. Step 6: Final answer
    x = 1,556.16

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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.