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Finding the Fourth Proportional to 3,409.74, 5,105.08 and 1,844.13

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Solution

The fourth proportional to 3,409.74, 5,105.08 and 1,844.13 is: 2,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.74 : 5,105.08 = 1,844.13 : x
  2. Step 2: Convert to fraction form
    3,409.74/5,105.08 = 1,844.13/x
  3. Step 3: Cross multiply
    3,409.74x = 5,105.08 × 1,844.13
  4. Step 4: Simplify right side
    3,409.74x = 9,414,433.49
  5. Step 5: Solve for x
    x = 9,414,433.49/3,409.74
  6. Step 6: Final answer
    x = 2,761.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.