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Finding the Fourth Proportional to 2,189.77, 3,284.25 and 940.59

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Solution

The fourth proportional to 2,189.77, 3,284.25 and 940.59 is: 1,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.77 : 3,284.25 = 940.59 : x
  2. Step 2: Convert to fraction form
    2,189.77/3,284.25 = 940.59/x
  3. Step 3: Cross multiply
    2,189.77x = 3,284.25 × 940.59
  4. Step 4: Simplify right side
    2,189.77x = 3,089,111.58
  5. Step 5: Solve for x
    x = 3,089,111.58/2,189.77
  6. Step 6: Final answer
    x = 1,410.70

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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.