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Finding the Fourth Proportional to 2,783.26, 4,175.55 and 835.45

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Solution

The fourth proportional to 2,783.26, 4,175.55 and 835.45 is: 1,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.26 : 4,175.55 = 835.45 : x
  2. Step 2: Convert to fraction form
    2,783.26/4,175.55 = 835.45/x
  3. Step 3: Cross multiply
    2,783.26x = 4,175.55 × 835.45
  4. Step 4: Simplify right side
    2,783.26x = 3,488,452.81
  5. Step 5: Solve for x
    x = 3,488,452.81/2,783.26
  6. Step 6: Final answer
    x = 1,253.37

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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.