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Finding the Fourth Proportional to 2,059.74, 3,094.88 and 1,194.66

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Solution

The fourth proportional to 2,059.74, 3,094.88 and 1,194.66 is: 1,795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.74 : 3,094.88 = 1,194.66 : x
  2. Step 2: Convert to fraction form
    2,059.74/3,094.88 = 1,194.66/x
  3. Step 3: Cross multiply
    2,059.74x = 3,094.88 × 1,194.66
  4. Step 4: Simplify right side
    2,059.74x = 3,697,323.37
  5. Step 5: Solve for x
    x = 3,697,323.37/2,059.74
  6. Step 6: Final answer
    x = 1,795.04

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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.