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Finding the Fourth Proportional to 2,895.12, 3,991.68 and 1,962

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Solution

The fourth proportional to 2,895.12, 3,991.68 and 1,962 is: 2,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.12 : 3,991.68 = 1,962 : x
  2. Step 2: Convert to fraction form
    2,895.12/3,991.68 = 1,962/x
  3. Step 3: Cross multiply
    2,895.12x = 3,991.68 × 1,962
  4. Step 4: Simplify right side
    2,895.12x = 7,831,676.16
  5. Step 5: Solve for x
    x = 7,831,676.16/2,895.12
  6. Step 6: Final answer
    x = 2,705.13

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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.