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Finding the Fourth Proportional to 2,170.98, 2,995.95 and 1,176.26

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Solution

The fourth proportional to 2,170.98, 2,995.95 and 1,176.26 is: 1,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.98 : 2,995.95 = 1,176.26 : x
  2. Step 2: Convert to fraction form
    2,170.98/2,995.95 = 1,176.26/x
  3. Step 3: Cross multiply
    2,170.98x = 2,995.95 × 1,176.26
  4. Step 4: Simplify right side
    2,170.98x = 3,524,016.15
  5. Step 5: Solve for x
    x = 3,524,016.15/2,170.98
  6. Step 6: Final answer
    x = 1,623.24

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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.