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Finding the Fourth Proportional to 2,016.42, 3,021.84 and 1,040.52

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Solution

The fourth proportional to 2,016.42, 3,021.84 and 1,040.52 is: 1,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.42 : 3,021.84 = 1,040.52 : x
  2. Step 2: Convert to fraction form
    2,016.42/3,021.84 = 1,040.52/x
  3. Step 3: Cross multiply
    2,016.42x = 3,021.84 × 1,040.52
  4. Step 4: Simplify right side
    2,016.42x = 3,144,284.96
  5. Step 5: Solve for x
    x = 3,144,284.96/2,016.42
  6. Step 6: Final answer
    x = 1,559.34

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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.