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Finding the Fourth Proportional to 1,443, 1,992.24 and 1,110.80

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Solution

The fourth proportional to 1,443, 1,992.24 and 1,110.80 is: 1,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443 : 1,992.24 = 1,110.80 : x
  2. Step 2: Convert to fraction form
    1,443/1,992.24 = 1,110.80/x
  3. Step 3: Cross multiply
    1,443x = 1,992.24 × 1,110.80
  4. Step 4: Simplify right side
    1,443x = 2,212,970.23
  5. Step 5: Solve for x
    x = 2,212,970.23/1,443
  6. Step 6: Final answer
    x = 1,533.59

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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.