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Finding the Fourth Proportional to 3,055.50, 4,219.17 and 1,938.42

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Solution

The fourth proportional to 3,055.50, 4,219.17 and 1,938.42 is: 2,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.50 : 4,219.17 = 1,938.42 : x
  2. Step 2: Convert to fraction form
    3,055.50/4,219.17 = 1,938.42/x
  3. Step 3: Cross multiply
    3,055.50x = 4,219.17 × 1,938.42
  4. Step 4: Simplify right side
    3,055.50x = 8,178,523.51
  5. Step 5: Solve for x
    x = 8,178,523.51/3,055.50
  6. Step 6: Final answer
    x = 2,676.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.