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Finding the Fourth Proportional to 2,811.47, 3,879 and 1,817.33

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Solution

The fourth proportional to 2,811.47, 3,879 and 1,817.33 is: 2,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.47 : 3,879 = 1,817.33 : x
  2. Step 2: Convert to fraction form
    2,811.47/3,879 = 1,817.33/x
  3. Step 3: Cross multiply
    2,811.47x = 3,879 × 1,817.33
  4. Step 4: Simplify right side
    2,811.47x = 7,049,403.68
  5. Step 5: Solve for x
    x = 7,049,403.68/2,811.47
  6. Step 6: Final answer
    x = 2,507.38

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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.