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Finding the Fourth Proportional to 2,567.08, 3,851.10 and 1,028.20

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Solution

The fourth proportional to 2,567.08, 3,851.10 and 1,028.20 is: 1,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.08 : 3,851.10 = 1,028.20 : x
  2. Step 2: Convert to fraction form
    2,567.08/3,851.10 = 1,028.20/x
  3. Step 3: Cross multiply
    2,567.08x = 3,851.10 × 1,028.20
  4. Step 4: Simplify right side
    2,567.08x = 3,959,701.02
  5. Step 5: Solve for x
    x = 3,959,701.02/2,567.08
  6. Step 6: Final answer
    x = 1,542.49

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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.