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Finding the Fourth Proportional to 2,170.90, 2,995.83 and 1,176.17

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Solution

The fourth proportional to 2,170.90, 2,995.83 and 1,176.17 is: 1,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.90 : 2,995.83 = 1,176.17 : x
  2. Step 2: Convert to fraction form
    2,170.90/2,995.83 = 1,176.17/x
  3. Step 3: Cross multiply
    2,170.90x = 2,995.83 × 1,176.17
  4. Step 4: Simplify right side
    2,170.90x = 3,523,605.37
  5. Step 5: Solve for x
    x = 3,523,605.37/2,170.90
  6. Step 6: Final answer
    x = 1,623.11

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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.