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Finding the Fourth Proportional to 2,115, 2,918.70 and 1,183.80

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Solution

The fourth proportional to 2,115, 2,918.70 and 1,183.80 is: 1,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115 : 2,918.70 = 1,183.80 : x
  2. Step 2: Convert to fraction form
    2,115/2,918.70 = 1,183.80/x
  3. Step 3: Cross multiply
    2,115x = 2,918.70 × 1,183.80
  4. Step 4: Simplify right side
    2,115x = 3,455,157.06
  5. Step 5: Solve for x
    x = 3,455,157.06/2,115
  6. Step 6: Final answer
    x = 1,633.64

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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.