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Finding the Fourth Proportional to 2,026.45, 3,040.89 and 728.02

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Solution

The fourth proportional to 2,026.45, 3,040.89 and 728.02 is: 1,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.45 : 3,040.89 = 728.02 : x
  2. Step 2: Convert to fraction form
    2,026.45/3,040.89 = 728.02/x
  3. Step 3: Cross multiply
    2,026.45x = 3,040.89 × 728.02
  4. Step 4: Simplify right side
    2,026.45x = 2,213,809.89
  5. Step 5: Solve for x
    x = 2,213,809.89/2,026.45
  6. Step 6: Final answer
    x = 1,092.46

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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.