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Finding the Fourth Proportional to 2,040.06, 3,059.46 and 741.21

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Solution

The fourth proportional to 2,040.06, 3,059.46 and 741.21 is: 1,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.06 : 3,059.46 = 741.21 : x
  2. Step 2: Convert to fraction form
    2,040.06/3,059.46 = 741.21/x
  3. Step 3: Cross multiply
    2,040.06x = 3,059.46 × 741.21
  4. Step 4: Simplify right side
    2,040.06x = 2,267,702.35
  5. Step 5: Solve for x
    x = 2,267,702.35/2,040.06
  6. Step 6: Final answer
    x = 1,111.59

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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.