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Finding the Fourth Proportional to 2,040.40, 3,059.82 and 741.52

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Solution

The fourth proportional to 2,040.40, 3,059.82 and 741.52 is: 1,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.40 : 3,059.82 = 741.52 : x
  2. Step 2: Convert to fraction form
    2,040.40/3,059.82 = 741.52/x
  3. Step 3: Cross multiply
    2,040.40x = 3,059.82 × 741.52
  4. Step 4: Simplify right side
    2,040.40x = 2,268,917.73
  5. Step 5: Solve for x
    x = 2,268,917.73/2,040.40
  6. Step 6: Final answer
    x = 1,112.00

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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.