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Finding the Fourth Proportional to 1,218.08, 1,818.22 and 1,072.28

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Solution

The fourth proportional to 1,218.08, 1,818.22 and 1,072.28 is: 1,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.08 : 1,818.22 = 1,072.28 : x
  2. Step 2: Convert to fraction form
    1,218.08/1,818.22 = 1,072.28/x
  3. Step 3: Cross multiply
    1,218.08x = 1,818.22 × 1,072.28
  4. Step 4: Simplify right side
    1,218.08x = 1,949,640.94
  5. Step 5: Solve for x
    x = 1,949,640.94/1,218.08
  6. Step 6: Final answer
    x = 1,600.59

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Why These Related Problems?

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