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Finding the Fourth Proportional to 1,994.49, 2,750.36 and 1,496.34

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Solution

The fourth proportional to 1,994.49, 2,750.36 and 1,496.34 is: 2,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.49 : 2,750.36 = 1,496.34 : x
  2. Step 2: Convert to fraction form
    1,994.49/2,750.36 = 1,496.34/x
  3. Step 3: Cross multiply
    1,994.49x = 2,750.36 × 1,496.34
  4. Step 4: Simplify right side
    1,994.49x = 4,115,466.20
  5. Step 5: Solve for x
    x = 4,115,466.20/1,994.49
  6. Step 6: Final answer
    x = 2,063.42

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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.