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Finding the Fourth Proportional to 1,216.47, 1,811.85 and 1,200.27

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Solution

The fourth proportional to 1,216.47, 1,811.85 and 1,200.27 is: 1,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.47 : 1,811.85 = 1,200.27 : x
  2. Step 2: Convert to fraction form
    1,216.47/1,811.85 = 1,200.27/x
  3. Step 3: Cross multiply
    1,216.47x = 1,811.85 × 1,200.27
  4. Step 4: Simplify right side
    1,216.47x = 2,174,709.20
  5. Step 5: Solve for x
    x = 2,174,709.20/1,216.47
  6. Step 6: Final answer
    x = 1,787.72

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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.