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Finding the Fourth Proportional to 2,623, 3,619.68 and 1,444

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Solution

The fourth proportional to 2,623, 3,619.68 and 1,444 is: 1,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623 : 3,619.68 = 1,444 : x
  2. Step 2: Convert to fraction form
    2,623/3,619.68 = 1,444/x
  3. Step 3: Cross multiply
    2,623x = 3,619.68 × 1,444
  4. Step 4: Simplify right side
    2,623x = 5,226,817.92
  5. Step 5: Solve for x
    x = 5,226,817.92/2,623
  6. Step 6: Final answer
    x = 1,992.69

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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.