Home / 2,284.34-3,416.75-1,906.80

Finding the Fourth Proportional to 2,284.34, 3,416.75 and 1,906.80

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Solution

The fourth proportional to 2,284.34, 3,416.75 and 1,906.80 is: 2,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.34 : 3,416.75 = 1,906.80 : x
  2. Step 2: Convert to fraction form
    2,284.34/3,416.75 = 1,906.80/x
  3. Step 3: Cross multiply
    2,284.34x = 3,416.75 × 1,906.80
  4. Step 4: Simplify right side
    2,284.34x = 6,515,049.37
  5. Step 5: Solve for x
    x = 6,515,049.37/2,284.34
  6. Step 6: Final answer
    x = 2,852.05

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