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Finding the Fourth Proportional to 2,596.16, 3,889.84 and 1,568

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Solution

The fourth proportional to 2,596.16, 3,889.84 and 1,568 is: 2,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.16 : 3,889.84 = 1,568 : x
  2. Step 2: Convert to fraction form
    2,596.16/3,889.84 = 1,568/x
  3. Step 3: Cross multiply
    2,596.16x = 3,889.84 × 1,568
  4. Step 4: Simplify right side
    2,596.16x = 6,099,269.12
  5. Step 5: Solve for x
    x = 6,099,269.12/2,596.16
  6. Step 6: Final answer
    x = 2,349.34

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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.