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Finding the Fourth Proportional to 2,015.16, 3,022.74 and 918.75

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Solution

The fourth proportional to 2,015.16, 3,022.74 and 918.75 is: 1,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.16 : 3,022.74 = 918.75 : x
  2. Step 2: Convert to fraction form
    2,015.16/3,022.74 = 918.75/x
  3. Step 3: Cross multiply
    2,015.16x = 3,022.74 × 918.75
  4. Step 4: Simplify right side
    2,015.16x = 2,777,142.38
  5. Step 5: Solve for x
    x = 2,777,142.38/2,015.16
  6. Step 6: Final answer
    x = 1,378.13

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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.