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Finding the Fourth Proportional to 2,093.45, 2,889.91 and 1,596.13

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Solution

The fourth proportional to 2,093.45, 2,889.91 and 1,596.13 is: 2,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.45 : 2,889.91 = 1,596.13 : x
  2. Step 2: Convert to fraction form
    2,093.45/2,889.91 = 1,596.13/x
  3. Step 3: Cross multiply
    2,093.45x = 2,889.91 × 1,596.13
  4. Step 4: Simplify right side
    2,093.45x = 4,612,664.07
  5. Step 5: Solve for x
    x = 4,612,664.07/2,093.45
  6. Step 6: Final answer
    x = 2,203.38

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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.