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Finding the Fourth Proportional to 2,028.17, 3,041.91 and 567.47

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Solution

The fourth proportional to 2,028.17, 3,041.91 and 567.47 is: 851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.17 : 3,041.91 = 567.47 : x
  2. Step 2: Convert to fraction form
    2,028.17/3,041.91 = 567.47/x
  3. Step 3: Cross multiply
    2,028.17x = 3,041.91 × 567.47
  4. Step 4: Simplify right side
    2,028.17x = 1,726,177.46
  5. Step 5: Solve for x
    x = 1,726,177.46/2,028.17
  6. Step 6: Final answer
    x = 851.10

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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.