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Finding the Fourth Proportional to 2,170.09, 2,994.78 and 1,285.75

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Solution

The fourth proportional to 2,170.09, 2,994.78 and 1,285.75 is: 1,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.09 : 2,994.78 = 1,285.75 : x
  2. Step 2: Convert to fraction form
    2,170.09/2,994.78 = 1,285.75/x
  3. Step 3: Cross multiply
    2,170.09x = 2,994.78 × 1,285.75
  4. Step 4: Simplify right side
    2,170.09x = 3,850,538.39
  5. Step 5: Solve for x
    x = 3,850,538.39/2,170.09
  6. Step 6: Final answer
    x = 1,774.37

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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.