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Finding the Fourth Proportional to 2,463.64, 3,696 and 1,367.44

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Solution

The fourth proportional to 2,463.64, 3,696 and 1,367.44 is: 2,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.64 : 3,696 = 1,367.44 : x
  2. Step 2: Convert to fraction form
    2,463.64/3,696 = 1,367.44/x
  3. Step 3: Cross multiply
    2,463.64x = 3,696 × 1,367.44
  4. Step 4: Simplify right side
    2,463.64x = 5,054,058.24
  5. Step 5: Solve for x
    x = 5,054,058.24/2,463.64
  6. Step 6: Final answer
    x = 2,051.46

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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.