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Finding the Fourth Proportional to 1,836.35, 2,753.91 and 537.52

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Solution

The fourth proportional to 1,836.35, 2,753.91 and 537.52 is: 806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.35 : 2,753.91 = 537.52 : x
  2. Step 2: Convert to fraction form
    1,836.35/2,753.91 = 537.52/x
  3. Step 3: Cross multiply
    1,836.35x = 2,753.91 × 537.52
  4. Step 4: Simplify right side
    1,836.35x = 1,480,281.70
  5. Step 5: Solve for x
    x = 1,480,281.70/1,836.35
  6. Step 6: Final answer
    x = 806.10

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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.