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Finding the Fourth Proportional to 3,400.67, 4,692.38 and 2,141.25

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Solution

The fourth proportional to 3,400.67, 4,692.38 and 2,141.25 is: 2,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.67 : 4,692.38 = 2,141.25 : x
  2. Step 2: Convert to fraction form
    3,400.67/4,692.38 = 2,141.25/x
  3. Step 3: Cross multiply
    3,400.67x = 4,692.38 × 2,141.25
  4. Step 4: Simplify right side
    3,400.67x = 10,047,547.97
  5. Step 5: Solve for x
    x = 10,047,547.97/3,400.67
  6. Step 6: Final answer
    x = 2,954.58

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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.