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Finding the Fourth Proportional to 3,609.82, 4,982.64 and 2,283.95

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Solution

The fourth proportional to 3,609.82, 4,982.64 and 2,283.95 is: 3,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.82 : 4,982.64 = 2,283.95 : x
  2. Step 2: Convert to fraction form
    3,609.82/4,982.64 = 2,283.95/x
  3. Step 3: Cross multiply
    3,609.82x = 4,982.64 × 2,283.95
  4. Step 4: Simplify right side
    3,609.82x = 11,380,082.92
  5. Step 5: Solve for x
    x = 11,380,082.92/3,609.82
  6. Step 6: Final answer
    x = 3,152.54

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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.