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Finding the Fourth Proportional to 2,311.84, 3,190.16 and 1,316.92

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Solution

The fourth proportional to 2,311.84, 3,190.16 and 1,316.92 is: 1,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.84 : 3,190.16 = 1,316.92 : x
  2. Step 2: Convert to fraction form
    2,311.84/3,190.16 = 1,316.92/x
  3. Step 3: Cross multiply
    2,311.84x = 3,190.16 × 1,316.92
  4. Step 4: Simplify right side
    2,311.84x = 4,201,187.15
  5. Step 5: Solve for x
    x = 4,201,187.15/2,311.84
  6. Step 6: Final answer
    x = 1,817.25

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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.