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Finding the Fourth Proportional to 1,836.86, 2,754.98 and 604.28

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Solution

The fourth proportional to 1,836.86, 2,754.98 and 604.28 is: 906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.86 : 2,754.98 = 604.28 : x
  2. Step 2: Convert to fraction form
    1,836.86/2,754.98 = 604.28/x
  3. Step 3: Cross multiply
    1,836.86x = 2,754.98 × 604.28
  4. Step 4: Simplify right side
    1,836.86x = 1,664,787.71
  5. Step 5: Solve for x
    x = 1,664,787.71/1,836.86
  6. Step 6: Final answer
    x = 906.32

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