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Finding the Fourth Proportional to 1,835.74, 2,753.20 and 537.04

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Solution

The fourth proportional to 1,835.74, 2,753.20 and 537.04 is: 805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.74 : 2,753.20 = 537.04 : x
  2. Step 2: Convert to fraction form
    1,835.74/2,753.20 = 537.04/x
  3. Step 3: Cross multiply
    1,835.74x = 2,753.20 × 537.04
  4. Step 4: Simplify right side
    1,835.74x = 1,478,578.53
  5. Step 5: Solve for x
    x = 1,478,578.53/1,835.74
  6. Step 6: Final answer
    x = 805.44

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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.