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Finding the Fourth Proportional to 2,568.70, 3,544.82 and 1,389.77

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Solution

The fourth proportional to 2,568.70, 3,544.82 and 1,389.77 is: 1,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.70 : 3,544.82 = 1,389.77 : x
  2. Step 2: Convert to fraction form
    2,568.70/3,544.82 = 1,389.77/x
  3. Step 3: Cross multiply
    2,568.70x = 3,544.82 × 1,389.77
  4. Step 4: Simplify right side
    2,568.70x = 4,926,470.24
  5. Step 5: Solve for x
    x = 4,926,470.24/2,568.70
  6. Step 6: Final answer
    x = 1,917.89

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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.