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Finding the Fourth Proportional to 2,895.44, 3,991.56 and 2,066

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Solution

The fourth proportional to 2,895.44, 3,991.56 and 2,066 is: 2,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.44 : 3,991.56 = 2,066 : x
  2. Step 2: Convert to fraction form
    2,895.44/3,991.56 = 2,066/x
  3. Step 3: Cross multiply
    2,895.44x = 3,991.56 × 2,066
  4. Step 4: Simplify right side
    2,895.44x = 8,246,562.96
  5. Step 5: Solve for x
    x = 8,246,562.96/2,895.44
  6. Step 6: Final answer
    x = 2,848.12

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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.