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Finding the Fourth Proportional to 1,273.28, 1,899.52 and 1,212.80

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Solution

The fourth proportional to 1,273.28, 1,899.52 and 1,212.80 is: 1,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.28 : 1,899.52 = 1,212.80 : x
  2. Step 2: Convert to fraction form
    1,273.28/1,899.52 = 1,212.80/x
  3. Step 3: Cross multiply
    1,273.28x = 1,899.52 × 1,212.80
  4. Step 4: Simplify right side
    1,273.28x = 2,303,737.86
  5. Step 5: Solve for x
    x = 2,303,737.86/1,273.28
  6. Step 6: Final answer
    x = 1,809.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.