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Finding the Fourth Proportional to 2,791.50, 4,184.33 and 941.98

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Solution

The fourth proportional to 2,791.50, 4,184.33 and 941.98 is: 1,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.50 : 4,184.33 = 941.98 : x
  2. Step 2: Convert to fraction form
    2,791.50/4,184.33 = 941.98/x
  3. Step 3: Cross multiply
    2,791.50x = 4,184.33 × 941.98
  4. Step 4: Simplify right side
    2,791.50x = 3,941,555.17
  5. Step 5: Solve for x
    x = 3,941,555.17/2,791.50
  6. Step 6: Final answer
    x = 1,411.98

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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.