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Finding the Fourth Proportional to 2,368.56, 3,268.80 and 1,306.42

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Solution

The fourth proportional to 2,368.56, 3,268.80 and 1,306.42 is: 1,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.56 : 3,268.80 = 1,306.42 : x
  2. Step 2: Convert to fraction form
    2,368.56/3,268.80 = 1,306.42/x
  3. Step 3: Cross multiply
    2,368.56x = 3,268.80 × 1,306.42
  4. Step 4: Simplify right side
    2,368.56x = 4,270,433.87
  5. Step 5: Solve for x
    x = 4,270,433.87/2,368.56
  6. Step 6: Final answer
    x = 1,802.97

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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.