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Finding the Fourth Proportional to 2,981, 4,110.90 and 2,316.80

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Solution

The fourth proportional to 2,981, 4,110.90 and 2,316.80 is: 3,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981 : 4,110.90 = 2,316.80 : x
  2. Step 2: Convert to fraction form
    2,981/4,110.90 = 2,316.80/x
  3. Step 3: Cross multiply
    2,981x = 4,110.90 × 2,316.80
  4. Step 4: Simplify right side
    2,981x = 9,524,133.12
  5. Step 5: Solve for x
    x = 9,524,133.12/2,981
  6. Step 6: Final answer
    x = 3,194.95

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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.