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Finding the Fourth Proportional to 4,193.41, 6,290.16 and 1,820.94

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Solution

The fourth proportional to 4,193.41, 6,290.16 and 1,820.94 is: 2,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.41 : 6,290.16 = 1,820.94 : x
  2. Step 2: Convert to fraction form
    4,193.41/6,290.16 = 1,820.94/x
  3. Step 3: Cross multiply
    4,193.41x = 6,290.16 × 1,820.94
  4. Step 4: Simplify right side
    4,193.41x = 11,453,972.50
  5. Step 5: Solve for x
    x = 11,453,972.50/4,193.41
  6. Step 6: Final answer
    x = 2,731.43

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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.