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Finding the Fourth Proportional to 2,892.45, 4,337.46 and 1,968.51

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Solution

The fourth proportional to 2,892.45, 4,337.46 and 1,968.51 is: 2,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.45 : 4,337.46 = 1,968.51 : x
  2. Step 2: Convert to fraction form
    2,892.45/4,337.46 = 1,968.51/x
  3. Step 3: Cross multiply
    2,892.45x = 4,337.46 × 1,968.51
  4. Step 4: Simplify right side
    2,892.45x = 8,538,333.38
  5. Step 5: Solve for x
    x = 8,538,333.38/2,892.45
  6. Step 6: Final answer
    x = 2,951.94

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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.