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Finding the Fourth Proportional to 2,701.44, 4,051.20 and 852

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Solution

The fourth proportional to 2,701.44, 4,051.20 and 852 is: 1,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.44 : 4,051.20 = 852 : x
  2. Step 2: Convert to fraction form
    2,701.44/4,051.20 = 852/x
  3. Step 3: Cross multiply
    2,701.44x = 4,051.20 × 852
  4. Step 4: Simplify right side
    2,701.44x = 3,451,622.40
  5. Step 5: Solve for x
    x = 3,451,622.40/2,701.44
  6. Step 6: Final answer
    x = 1,277.70

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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.