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Finding the Fourth Proportional to 2,568.66, 3,544.73 and 1,389.70

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Solution

The fourth proportional to 2,568.66, 3,544.73 and 1,389.70 is: 1,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.66 : 3,544.73 = 1,389.70 : x
  2. Step 2: Convert to fraction form
    2,568.66/3,544.73 = 1,389.70/x
  3. Step 3: Cross multiply
    2,568.66x = 3,544.73 × 1,389.70
  4. Step 4: Simplify right side
    2,568.66x = 4,926,123.62
  5. Step 5: Solve for x
    x = 4,926,123.62/2,568.66
  6. Step 6: Final answer
    x = 1,917.78

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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.