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Finding the Fourth Proportional to 2,463.63, 3,398.74 and 1,623.26

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Solution

The fourth proportional to 2,463.63, 3,398.74 and 1,623.26 is: 2,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.63 : 3,398.74 = 1,623.26 : x
  2. Step 2: Convert to fraction form
    2,463.63/3,398.74 = 1,623.26/x
  3. Step 3: Cross multiply
    2,463.63x = 3,398.74 × 1,623.26
  4. Step 4: Simplify right side
    2,463.63x = 5,517,038.69
  5. Step 5: Solve for x
    x = 5,517,038.69/2,463.63
  6. Step 6: Final answer
    x = 2,239.39

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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.