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Finding the Fourth Proportional to 3,382.16, 4,667.46 and 1,890

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Solution

The fourth proportional to 3,382.16, 4,667.46 and 1,890 is: 2,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.16 : 4,667.46 = 1,890 : x
  2. Step 2: Convert to fraction form
    3,382.16/4,667.46 = 1,890/x
  3. Step 3: Cross multiply
    3,382.16x = 4,667.46 × 1,890
  4. Step 4: Simplify right side
    3,382.16x = 8,821,499.40
  5. Step 5: Solve for x
    x = 8,821,499.40/3,382.16
  6. Step 6: Final answer
    x = 2,608.24

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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.