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Finding the Fourth Proportional to 2,467.75, 3,405.50 and 1,363.75

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Solution

The fourth proportional to 2,467.75, 3,405.50 and 1,363.75 is: 1,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.75 : 3,405.50 = 1,363.75 : x
  2. Step 2: Convert to fraction form
    2,467.75/3,405.50 = 1,363.75/x
  3. Step 3: Cross multiply
    2,467.75x = 3,405.50 × 1,363.75
  4. Step 4: Simplify right side
    2,467.75x = 4,644,250.63
  5. Step 5: Solve for x
    x = 4,644,250.63/2,467.75
  6. Step 6: Final answer
    x = 1,881.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.