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Finding the Fourth Proportional to 1,994.48, 2,757.18 and 1,828.42

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Solution

The fourth proportional to 1,994.48, 2,757.18 and 1,828.42 is: 2,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.48 : 2,757.18 = 1,828.42 : x
  2. Step 2: Convert to fraction form
    1,994.48/2,757.18 = 1,828.42/x
  3. Step 3: Cross multiply
    1,994.48x = 2,757.18 × 1,828.42
  4. Step 4: Simplify right side
    1,994.48x = 5,041,283.06
  5. Step 5: Solve for x
    x = 5,041,283.06/1,994.48
  6. Step 6: Final answer
    x = 2,527.62

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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.