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Finding the Fourth Proportional to 1,835.96, 2,753.70 and 537.56

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Solution

The fourth proportional to 1,835.96, 2,753.70 and 537.56 is: 806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.96 : 2,753.70 = 537.56 : x
  2. Step 2: Convert to fraction form
    1,835.96/2,753.70 = 537.56/x
  3. Step 3: Cross multiply
    1,835.96x = 2,753.70 × 537.56
  4. Step 4: Simplify right side
    1,835.96x = 1,480,278.97
  5. Step 5: Solve for x
    x = 1,480,278.97/1,835.96
  6. Step 6: Final answer
    x = 806.27

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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.