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Finding the Fourth Proportional to 2,368.36, 3,268.02 and 1,436.68

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Solution

The fourth proportional to 2,368.36, 3,268.02 and 1,436.68 is: 1,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.36 : 3,268.02 = 1,436.68 : x
  2. Step 2: Convert to fraction form
    2,368.36/3,268.02 = 1,436.68/x
  3. Step 3: Cross multiply
    2,368.36x = 3,268.02 × 1,436.68
  4. Step 4: Simplify right side
    2,368.36x = 4,695,098.97
  5. Step 5: Solve for x
    x = 4,695,098.97/2,368.36
  6. Step 6: Final answer
    x = 1,982.43

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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.