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Finding the Fourth Proportional to 2,568, 3,852.18 and 1,029

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Solution

The fourth proportional to 2,568, 3,852.18 and 1,029 is: 1,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568 : 3,852.18 = 1,029 : x
  2. Step 2: Convert to fraction form
    2,568/3,852.18 = 1,029/x
  3. Step 3: Cross multiply
    2,568x = 3,852.18 × 1,029
  4. Step 4: Simplify right side
    2,568x = 3,963,893.22
  5. Step 5: Solve for x
    x = 3,963,893.22/2,568
  6. Step 6: Final answer
    x = 1,543.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.