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Finding the Fourth Proportional to 2,026.98, 3,040.56 and 987.84

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Solution

The fourth proportional to 2,026.98, 3,040.56 and 987.84 is: 1,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.98 : 3,040.56 = 987.84 : x
  2. Step 2: Convert to fraction form
    2,026.98/3,040.56 = 987.84/x
  3. Step 3: Cross multiply
    2,026.98x = 3,040.56 × 987.84
  4. Step 4: Simplify right side
    2,026.98x = 3,003,586.79
  5. Step 5: Solve for x
    x = 3,003,586.79/2,026.98
  6. Step 6: Final answer
    x = 1,481.80

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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.