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Finding the Fourth Proportional to 3,362.14, 4,640.94 and 1,964.89

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Solution

The fourth proportional to 3,362.14, 4,640.94 and 1,964.89 is: 2,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.14 : 4,640.94 = 1,964.89 : x
  2. Step 2: Convert to fraction form
    3,362.14/4,640.94 = 1,964.89/x
  3. Step 3: Cross multiply
    3,362.14x = 4,640.94 × 1,964.89
  4. Step 4: Simplify right side
    3,362.14x = 9,118,936.60
  5. Step 5: Solve for x
    x = 9,118,936.60/3,362.14
  6. Step 6: Final answer
    x = 2,712.24

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1.5x scale

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.