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Finding the Fourth Proportional to 2,684.34, 4,026.24 and 835.38

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Solution

The fourth proportional to 2,684.34, 4,026.24 and 835.38 is: 1,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.34 : 4,026.24 = 835.38 : x
  2. Step 2: Convert to fraction form
    2,684.34/4,026.24 = 835.38/x
  3. Step 3: Cross multiply
    2,684.34x = 4,026.24 × 835.38
  4. Step 4: Simplify right side
    2,684.34x = 3,363,440.37
  5. Step 5: Solve for x
    x = 3,363,440.37/2,684.34
  6. Step 6: Final answer
    x = 1,252.99

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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.