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Finding the Fourth Proportional to 2,912.94, 4,019.93 and 1,654.05

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Solution

The fourth proportional to 2,912.94, 4,019.93 and 1,654.05 is: 2,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.94 : 4,019.93 = 1,654.05 : x
  2. Step 2: Convert to fraction form
    2,912.94/4,019.93 = 1,654.05/x
  3. Step 3: Cross multiply
    2,912.94x = 4,019.93 × 1,654.05
  4. Step 4: Simplify right side
    2,912.94x = 6,649,165.22
  5. Step 5: Solve for x
    x = 6,649,165.22/2,912.94
  6. Step 6: Final answer
    x = 2,282.63

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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.