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Finding the Fourth Proportional to 2,892.54, 4,337.18 and 1,969.34

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Solution

The fourth proportional to 2,892.54, 4,337.18 and 1,969.34 is: 2,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.54 : 4,337.18 = 1,969.34 : x
  2. Step 2: Convert to fraction form
    2,892.54/4,337.18 = 1,969.34/x
  3. Step 3: Cross multiply
    2,892.54x = 4,337.18 × 1,969.34
  4. Step 4: Simplify right side
    2,892.54x = 8,541,382.06
  5. Step 5: Solve for x
    x = 8,541,382.06/2,892.54
  6. Step 6: Final answer
    x = 2,952.90

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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.