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Finding the Fourth Proportional to 2,368.28, 3,268.22 and 1,374.14

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Solution

The fourth proportional to 2,368.28, 3,268.22 and 1,374.14 is: 1,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.28 : 3,268.22 = 1,374.14 : x
  2. Step 2: Convert to fraction form
    2,368.28/3,268.22 = 1,374.14/x
  3. Step 3: Cross multiply
    2,368.28x = 3,268.22 × 1,374.14
  4. Step 4: Simplify right side
    2,368.28x = 4,490,991.83
  5. Step 5: Solve for x
    x = 4,490,991.83/2,368.28
  6. Step 6: Final answer
    x = 1,896.31

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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.