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Finding the Fourth Proportional to 1,504.44, 2,254.23 and 1,194.66

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Solution

The fourth proportional to 1,504.44, 2,254.23 and 1,194.66 is: 1,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.44 : 2,254.23 = 1,194.66 : x
  2. Step 2: Convert to fraction form
    1,504.44/2,254.23 = 1,194.66/x
  3. Step 3: Cross multiply
    1,504.44x = 2,254.23 × 1,194.66
  4. Step 4: Simplify right side
    1,504.44x = 2,693,038.41
  5. Step 5: Solve for x
    x = 2,693,038.41/1,504.44
  6. Step 6: Final answer
    x = 1,790.06

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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.