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Finding the Fourth Proportional to 2,684.31, 4,026.84 and 835.58

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Solution

The fourth proportional to 2,684.31, 4,026.84 and 835.58 is: 1,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.31 : 4,026.84 = 835.58 : x
  2. Step 2: Convert to fraction form
    2,684.31/4,026.84 = 835.58/x
  3. Step 3: Cross multiply
    2,684.31x = 4,026.84 × 835.58
  4. Step 4: Simplify right side
    2,684.31x = 3,364,726.83
  5. Step 5: Solve for x
    x = 3,364,726.83/2,684.31
  6. Step 6: Final answer
    x = 1,253.48

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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.