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Finding the Fourth Proportional to 1,542.36, 2,312.22 and 568.26

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Solution

The fourth proportional to 1,542.36, 2,312.22 and 568.26 is: 851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.36 : 2,312.22 = 568.26 : x
  2. Step 2: Convert to fraction form
    1,542.36/2,312.22 = 568.26/x
  3. Step 3: Cross multiply
    1,542.36x = 2,312.22 × 568.26
  4. Step 4: Simplify right side
    1,542.36x = 1,313,942.14
  5. Step 5: Solve for x
    x = 1,313,942.14/1,542.36
  6. Step 6: Final answer
    x = 851.90

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