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Finding the Fourth Proportional to 2,832.84, 4,241.70 and 1,908.36

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Solution

The fourth proportional to 2,832.84, 4,241.70 and 1,908.36 is: 2,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.84 : 4,241.70 = 1,908.36 : x
  2. Step 2: Convert to fraction form
    2,832.84/4,241.70 = 1,908.36/x
  3. Step 3: Cross multiply
    2,832.84x = 4,241.70 × 1,908.36
  4. Step 4: Simplify right side
    2,832.84x = 8,094,690.61
  5. Step 5: Solve for x
    x = 8,094,690.61/2,832.84
  6. Step 6: Final answer
    x = 2,857.45

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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.