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Finding the Fourth Proportional to 2,170.42, 2,993.25 and 1,703.86

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Solution

The fourth proportional to 2,170.42, 2,993.25 and 1,703.86 is: 2,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.42 : 2,993.25 = 1,703.86 : x
  2. Step 2: Convert to fraction form
    2,170.42/2,993.25 = 1,703.86/x
  3. Step 3: Cross multiply
    2,170.42x = 2,993.25 × 1,703.86
  4. Step 4: Simplify right side
    2,170.42x = 5,100,078.95
  5. Step 5: Solve for x
    x = 5,100,078.95/2,170.42
  6. Step 6: Final answer
    x = 2,349.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.