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Finding the Fourth Proportional to 2,170.78, 2,995.67 and 1,176.06

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Solution

The fourth proportional to 2,170.78, 2,995.67 and 1,176.06 is: 1,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.78 : 2,995.67 = 1,176.06 : x
  2. Step 2: Convert to fraction form
    2,170.78/2,995.67 = 1,176.06/x
  3. Step 3: Cross multiply
    2,170.78x = 2,995.67 × 1,176.06
  4. Step 4: Simplify right side
    2,170.78x = 3,523,087.66
  5. Step 5: Solve for x
    x = 3,523,087.66/2,170.78
  6. Step 6: Final answer
    x = 1,622.96

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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.