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Finding the Fourth Proportional to 2,684.49, 4,026.20 and 835.31

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Solution

The fourth proportional to 2,684.49, 4,026.20 and 835.31 is: 1,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.49 : 4,026.20 = 835.31 : x
  2. Step 2: Convert to fraction form
    2,684.49/4,026.20 = 835.31/x
  3. Step 3: Cross multiply
    2,684.49x = 4,026.20 × 835.31
  4. Step 4: Simplify right side
    2,684.49x = 3,363,100.81
  5. Step 5: Solve for x
    x = 3,363,100.81/2,684.49
  6. Step 6: Final answer
    x = 1,252.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.