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Finding the Fourth Proportional to 2,684.31, 4,026.93 and 835.29

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Solution

The fourth proportional to 2,684.31, 4,026.93 and 835.29 is: 1,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.31 : 4,026.93 = 835.29 : x
  2. Step 2: Convert to fraction form
    2,684.31/4,026.93 = 835.29/x
  3. Step 3: Cross multiply
    2,684.31x = 4,026.93 × 835.29
  4. Step 4: Simplify right side
    2,684.31x = 3,363,654.36
  5. Step 5: Solve for x
    x = 3,363,654.36/2,684.31
  6. Step 6: Final answer
    x = 1,253.08

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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.