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Finding the Fourth Proportional to 1,218.22, 1,827.09 and 340.54

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Solution

The fourth proportional to 1,218.22, 1,827.09 and 340.54 is: 510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.22 : 1,827.09 = 340.54 : x
  2. Step 2: Convert to fraction form
    1,218.22/1,827.09 = 340.54/x
  3. Step 3: Cross multiply
    1,218.22x = 1,827.09 × 340.54
  4. Step 4: Simplify right side
    1,218.22x = 622,192.66
  5. Step 5: Solve for x
    x = 622,192.66/1,218.22
  6. Step 6: Final answer
    x = 510.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.