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Finding the Fourth Proportional to 1,994.36, 2,743.08 and 1,600.52

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Solution

The fourth proportional to 1,994.36, 2,743.08 and 1,600.52 is: 2,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.36 : 2,743.08 = 1,600.52 : x
  2. Step 2: Convert to fraction form
    1,994.36/2,743.08 = 1,600.52/x
  3. Step 3: Cross multiply
    1,994.36x = 2,743.08 × 1,600.52
  4. Step 4: Simplify right side
    1,994.36x = 4,390,354.40
  5. Step 5: Solve for x
    x = 4,390,354.40/1,994.36
  6. Step 6: Final answer
    x = 2,201.39

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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.