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Finding the Fourth Proportional to 1,836.42, 2,754.72 and 604.19

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Solution

The fourth proportional to 1,836.42, 2,754.72 and 604.19 is: 906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.42 : 2,754.72 = 604.19 : x
  2. Step 2: Convert to fraction form
    1,836.42/2,754.72 = 604.19/x
  3. Step 3: Cross multiply
    1,836.42x = 2,754.72 × 604.19
  4. Step 4: Simplify right side
    1,836.42x = 1,664,360.50
  5. Step 5: Solve for x
    x = 1,664,360.50/1,836.42
  6. Step 6: Final answer
    x = 906.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.