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Finding the Fourth Proportional to 2,576.52, 3,866.40 and 1,037.52

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Solution

The fourth proportional to 2,576.52, 3,866.40 and 1,037.52 is: 1,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.52 : 3,866.40 = 1,037.52 : x
  2. Step 2: Convert to fraction form
    2,576.52/3,866.40 = 1,037.52/x
  3. Step 3: Cross multiply
    2,576.52x = 3,866.40 × 1,037.52
  4. Step 4: Simplify right side
    2,576.52x = 4,011,467.33
  5. Step 5: Solve for x
    x = 4,011,467.33/2,576.52
  6. Step 6: Final answer
    x = 1,556.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.