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Finding the Fourth Proportional to 2,015.76, 3,022.94 and 1,027.64

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Solution

The fourth proportional to 2,015.76, 3,022.94 and 1,027.64 is: 1,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.76 : 3,022.94 = 1,027.64 : x
  2. Step 2: Convert to fraction form
    2,015.76/3,022.94 = 1,027.64/x
  3. Step 3: Cross multiply
    2,015.76x = 3,022.94 × 1,027.64
  4. Step 4: Simplify right side
    2,015.76x = 3,106,494.06
  5. Step 5: Solve for x
    x = 3,106,494.06/2,015.76
  6. Step 6: Final answer
    x = 1,541.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.