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Finding the Fourth Proportional to 1,692, 2,538.12 and 566.28

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Solution

The fourth proportional to 1,692, 2,538.12 and 566.28 is: 849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692 : 2,538.12 = 566.28 : x
  2. Step 2: Convert to fraction form
    1,692/2,538.12 = 566.28/x
  3. Step 3: Cross multiply
    1,692x = 2,538.12 × 566.28
  4. Step 4: Simplify right side
    1,692x = 1,437,286.59
  5. Step 5: Solve for x
    x = 1,437,286.59/1,692
  6. Step 6: Final answer
    x = 849.46

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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.