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Finding the Fourth Proportional to 1,227.16, 1,827.74 and 1,221.18

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Solution

The fourth proportional to 1,227.16, 1,827.74 and 1,221.18 is: 1,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.16 : 1,827.74 = 1,221.18 : x
  2. Step 2: Convert to fraction form
    1,227.16/1,827.74 = 1,221.18/x
  3. Step 3: Cross multiply
    1,227.16x = 1,827.74 × 1,221.18
  4. Step 4: Simplify right side
    1,227.16x = 2,232,002.59
  5. Step 5: Solve for x
    x = 2,232,002.59/1,227.16
  6. Step 6: Final answer
    x = 1,818.84

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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.