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Finding the Fourth Proportional to 3,662.83, 5,054.67 and 1,984.19

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Solution

The fourth proportional to 3,662.83, 5,054.67 and 1,984.19 is: 2,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.83 : 5,054.67 = 1,984.19 : x
  2. Step 2: Convert to fraction form
    3,662.83/5,054.67 = 1,984.19/x
  3. Step 3: Cross multiply
    3,662.83x = 5,054.67 × 1,984.19
  4. Step 4: Simplify right side
    3,662.83x = 10,029,425.67
  5. Step 5: Solve for x
    x = 10,029,425.67/3,662.83
  6. Step 6: Final answer
    x = 2,738.16

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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.