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Finding the Fourth Proportional to 1,594.43, 2,199.75 and 996.51

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Solution

The fourth proportional to 1,594.43, 2,199.75 and 996.51 is: 1,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.43 : 2,199.75 = 996.51 : x
  2. Step 2: Convert to fraction form
    1,594.43/2,199.75 = 996.51/x
  3. Step 3: Cross multiply
    1,594.43x = 2,199.75 × 996.51
  4. Step 4: Simplify right side
    1,594.43x = 2,192,072.87
  5. Step 5: Solve for x
    x = 2,192,072.87/1,594.43
  6. Step 6: Final answer
    x = 1,374.83

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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.