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Finding the Fourth Proportional to 2,892.36, 3,990.54 and 1,772.14

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Solution

The fourth proportional to 2,892.36, 3,990.54 and 1,772.14 is: 2,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.36 : 3,990.54 = 1,772.14 : x
  2. Step 2: Convert to fraction form
    2,892.36/3,990.54 = 1,772.14/x
  3. Step 3: Cross multiply
    2,892.36x = 3,990.54 × 1,772.14
  4. Step 4: Simplify right side
    2,892.36x = 7,071,795.56
  5. Step 5: Solve for x
    x = 7,071,795.56/2,892.36
  6. Step 6: Final answer
    x = 2,444.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.