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Finding the Fourth Proportional to 2,682.40, 4,023.60 and 1,016.50

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Solution

The fourth proportional to 2,682.40, 4,023.60 and 1,016.50 is: 1,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.40 : 4,023.60 = 1,016.50 : x
  2. Step 2: Convert to fraction form
    2,682.40/4,023.60 = 1,016.50/x
  3. Step 3: Cross multiply
    2,682.40x = 4,023.60 × 1,016.50
  4. Step 4: Simplify right side
    2,682.40x = 4,089,989.40
  5. Step 5: Solve for x
    x = 4,089,989.40/2,682.40
  6. Step 6: Final answer
    x = 1,524.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.