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Finding the Fourth Proportional to 2,701.26, 4,047 and 1,138.44

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Solution

The fourth proportional to 2,701.26, 4,047 and 1,138.44 is: 1,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.26 : 4,047 = 1,138.44 : x
  2. Step 2: Convert to fraction form
    2,701.26/4,047 = 1,138.44/x
  3. Step 3: Cross multiply
    2,701.26x = 4,047 × 1,138.44
  4. Step 4: Simplify right side
    2,701.26x = 4,607,266.68
  5. Step 5: Solve for x
    x = 4,607,266.68/2,701.26
  6. Step 6: Final answer
    x = 1,705.60

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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.