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Finding the Fourth Proportional to 1,542.24, 2,310.12 and 955.44

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Solution

The fourth proportional to 1,542.24, 2,310.12 and 955.44 is: 1,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.24 : 2,310.12 = 955.44 : x
  2. Step 2: Convert to fraction form
    1,542.24/2,310.12 = 955.44/x
  3. Step 3: Cross multiply
    1,542.24x = 2,310.12 × 955.44
  4. Step 4: Simplify right side
    1,542.24x = 2,207,181.05
  5. Step 5: Solve for x
    x = 2,207,181.05/1,542.24
  6. Step 6: Final answer
    x = 1,431.15

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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.