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Finding the Fourth Proportional to 2,168.16, 2,993 and 1,670.60

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Solution

The fourth proportional to 2,168.16, 2,993 and 1,670.60 is: 2,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.16 : 2,993 = 1,670.60 : x
  2. Step 2: Convert to fraction form
    2,168.16/2,993 = 1,670.60/x
  3. Step 3: Cross multiply
    2,168.16x = 2,993 × 1,670.60
  4. Step 4: Simplify right side
    2,168.16x = 5,000,105.80
  5. Step 5: Solve for x
    x = 5,000,105.80/2,168.16
  6. Step 6: Final answer
    x = 2,306.15

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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.