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Finding the Fourth Proportional to 2,368.70, 3,268.65 and 1,306.41

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Solution

The fourth proportional to 2,368.70, 3,268.65 and 1,306.41 is: 1,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.70 : 3,268.65 = 1,306.41 : x
  2. Step 2: Convert to fraction form
    2,368.70/3,268.65 = 1,306.41/x
  3. Step 3: Cross multiply
    2,368.70x = 3,268.65 × 1,306.41
  4. Step 4: Simplify right side
    2,368.70x = 4,270,197.05
  5. Step 5: Solve for x
    x = 4,270,197.05/2,368.70
  6. Step 6: Final answer
    x = 1,802.76

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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.