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Finding the Fourth Proportional to 2,063.39, 2,846.42 and 1,223.69

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Solution

The fourth proportional to 2,063.39, 2,846.42 and 1,223.69 is: 1,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.39 : 2,846.42 = 1,223.69 : x
  2. Step 2: Convert to fraction form
    2,063.39/2,846.42 = 1,223.69/x
  3. Step 3: Cross multiply
    2,063.39x = 2,846.42 × 1,223.69
  4. Step 4: Simplify right side
    2,063.39x = 3,483,119.93
  5. Step 5: Solve for x
    x = 3,483,119.93/2,063.39
  6. Step 6: Final answer
    x = 1,688.06

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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.