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Finding the Fourth Proportional to 2,806.26, 3,872.37 and 1,564.34

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Solution

The fourth proportional to 2,806.26, 3,872.37 and 1,564.34 is: 2,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.26 : 3,872.37 = 1,564.34 : x
  2. Step 2: Convert to fraction form
    2,806.26/3,872.37 = 1,564.34/x
  3. Step 3: Cross multiply
    2,806.26x = 3,872.37 × 1,564.34
  4. Step 4: Simplify right side
    2,806.26x = 6,057,703.29
  5. Step 5: Solve for x
    x = 6,057,703.29/2,806.26
  6. Step 6: Final answer
    x = 2,158.64

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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.