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Finding the Fourth Proportional to 2,311.74, 3,190.13 and 1,317.16

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Solution

The fourth proportional to 2,311.74, 3,190.13 and 1,317.16 is: 1,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.74 : 3,190.13 = 1,317.16 : x
  2. Step 2: Convert to fraction form
    2,311.74/3,190.13 = 1,317.16/x
  3. Step 3: Cross multiply
    2,311.74x = 3,190.13 × 1,317.16
  4. Step 4: Simplify right side
    2,311.74x = 4,201,911.63
  5. Step 5: Solve for x
    x = 4,201,911.63/2,311.74
  6. Step 6: Final answer
    x = 1,817.64

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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.