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Finding the Fourth Proportional to 1,492.27, 2,237.72 and 798.82

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Solution

The fourth proportional to 1,492.27, 2,237.72 and 798.82 is: 1,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.27 : 2,237.72 = 798.82 : x
  2. Step 2: Convert to fraction form
    1,492.27/2,237.72 = 798.82/x
  3. Step 3: Cross multiply
    1,492.27x = 2,237.72 × 798.82
  4. Step 4: Simplify right side
    1,492.27x = 1,787,535.49
  5. Step 5: Solve for x
    x = 1,787,535.49/1,492.27
  6. Step 6: Final answer
    x = 1,197.86

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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.