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Finding the Fourth Proportional to 2,568.16, 3,544.06 and 1,389.23

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Solution

The fourth proportional to 2,568.16, 3,544.06 and 1,389.23 is: 1,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.16 : 3,544.06 = 1,389.23 : x
  2. Step 2: Convert to fraction form
    2,568.16/3,544.06 = 1,389.23/x
  3. Step 3: Cross multiply
    2,568.16x = 3,544.06 × 1,389.23
  4. Step 4: Simplify right side
    2,568.16x = 4,923,514.47
  5. Step 5: Solve for x
    x = 4,923,514.47/2,568.16
  6. Step 6: Final answer
    x = 1,917.14

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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.