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Finding the Fourth Proportional to 2,310.54, 3,461.31 and 2,192.46

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Solution

The fourth proportional to 2,310.54, 3,461.31 and 2,192.46 is: 3,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.54 : 3,461.31 = 2,192.46 : x
  2. Step 2: Convert to fraction form
    2,310.54/3,461.31 = 2,192.46/x
  3. Step 3: Cross multiply
    2,310.54x = 3,461.31 × 2,192.46
  4. Step 4: Simplify right side
    2,310.54x = 7,588,783.72
  5. Step 5: Solve for x
    x = 7,588,783.72/2,310.54
  6. Step 6: Final answer
    x = 3,284.42

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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.