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Finding the Fourth Proportional to 2,951, 4,072.66 and 1,692.14

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Solution

The fourth proportional to 2,951, 4,072.66 and 1,692.14 is: 2,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951 : 4,072.66 = 1,692.14 : x
  2. Step 2: Convert to fraction form
    2,951/4,072.66 = 1,692.14/x
  3. Step 3: Cross multiply
    2,951x = 4,072.66 × 1,692.14
  4. Step 4: Simplify right side
    2,951x = 6,891,510.89
  5. Step 5: Solve for x
    x = 6,891,510.89/2,951
  6. Step 6: Final answer
    x = 2,335.31

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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.