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Finding the Fourth Proportional to 1,364.86, 2,047.51 and 1,227.11

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Solution

The fourth proportional to 1,364.86, 2,047.51 and 1,227.11 is: 1,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.86 : 2,047.51 = 1,227.11 : x
  2. Step 2: Convert to fraction form
    1,364.86/2,047.51 = 1,227.11/x
  3. Step 3: Cross multiply
    1,364.86x = 2,047.51 × 1,227.11
  4. Step 4: Simplify right side
    1,364.86x = 2,512,520.00
  5. Step 5: Solve for x
    x = 2,512,520.00/1,364.86
  6. Step 6: Final answer
    x = 1,840.87

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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.