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Finding the Fourth Proportional to 2,562.56, 3,536.96 and 1,568

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Solution

The fourth proportional to 2,562.56, 3,536.96 and 1,568 is: 2,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.56 : 3,536.96 = 1,568 : x
  2. Step 2: Convert to fraction form
    2,562.56/3,536.96 = 1,568/x
  3. Step 3: Cross multiply
    2,562.56x = 3,536.96 × 1,568
  4. Step 4: Simplify right side
    2,562.56x = 5,545,953.28
  5. Step 5: Solve for x
    x = 5,545,953.28/2,562.56
  6. Step 6: Final answer
    x = 2,164.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.