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Finding the Fourth Proportional to 2,596.46, 3,586.09 and 1,891.45

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Solution

The fourth proportional to 2,596.46, 3,586.09 and 1,891.45 is: 2,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.46 : 3,586.09 = 1,891.45 : x
  2. Step 2: Convert to fraction form
    2,596.46/3,586.09 = 1,891.45/x
  3. Step 3: Cross multiply
    2,596.46x = 3,586.09 × 1,891.45
  4. Step 4: Simplify right side
    2,596.46x = 6,782,917.22
  5. Step 5: Solve for x
    x = 6,782,917.22/2,596.46
  6. Step 6: Final answer
    x = 2,612.38

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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.