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Finding the Fourth Proportional to 1,930.51, 2,896.22 and 835.19

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Solution

The fourth proportional to 1,930.51, 2,896.22 and 835.19 is: 1,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.51 : 2,896.22 = 835.19 : x
  2. Step 2: Convert to fraction form
    1,930.51/2,896.22 = 835.19/x
  3. Step 3: Cross multiply
    1,930.51x = 2,896.22 × 835.19
  4. Step 4: Simplify right side
    1,930.51x = 2,418,893.98
  5. Step 5: Solve for x
    x = 2,418,893.98/1,930.51
  6. Step 6: Final answer
    x = 1,252.98

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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.