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Finding the Fourth Proportional to 1,835.45, 2,753.27 and 537.02

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Solution

The fourth proportional to 1,835.45, 2,753.27 and 537.02 is: 805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.45 : 2,753.27 = 537.02 : x
  2. Step 2: Convert to fraction form
    1,835.45/2,753.27 = 537.02/x
  3. Step 3: Cross multiply
    1,835.45x = 2,753.27 × 537.02
  4. Step 4: Simplify right side
    1,835.45x = 1,478,561.06
  5. Step 5: Solve for x
    x = 1,478,561.06/1,835.45
  6. Step 6: Final answer
    x = 805.56

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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.