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Finding the Fourth Proportional to 2,810.26, 4,214.08 and 835.17

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Solution

The fourth proportional to 2,810.26, 4,214.08 and 835.17 is: 1,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.26 : 4,214.08 = 835.17 : x
  2. Step 2: Convert to fraction form
    2,810.26/4,214.08 = 835.17/x
  3. Step 3: Cross multiply
    2,810.26x = 4,214.08 × 835.17
  4. Step 4: Simplify right side
    2,810.26x = 3,519,452.12
  5. Step 5: Solve for x
    x = 3,519,452.12/2,810.26
  6. Step 6: Final answer
    x = 1,252.36

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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.