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Finding the Fourth Proportional to 1,542.54, 2,311.92 and 567.48

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Solution

The fourth proportional to 1,542.54, 2,311.92 and 567.48 is: 850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.54 : 2,311.92 = 567.48 : x
  2. Step 2: Convert to fraction form
    1,542.54/2,311.92 = 567.48/x
  3. Step 3: Cross multiply
    1,542.54x = 2,311.92 × 567.48
  4. Step 4: Simplify right side
    1,542.54x = 1,311,968.36
  5. Step 5: Solve for x
    x = 1,311,968.36/1,542.54
  6. Step 6: Final answer
    x = 850.52

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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.