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Finding the Fourth Proportional to 2,015.65, 2,782.28 and 1,219.42

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Solution

The fourth proportional to 2,015.65, 2,782.28 and 1,219.42 is: 1,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.65 : 2,782.28 = 1,219.42 : x
  2. Step 2: Convert to fraction form
    2,015.65/2,782.28 = 1,219.42/x
  3. Step 3: Cross multiply
    2,015.65x = 2,782.28 × 1,219.42
  4. Step 4: Simplify right side
    2,015.65x = 3,392,767.88
  5. Step 5: Solve for x
    x = 3,392,767.88/2,015.65
  6. Step 6: Final answer
    x = 1,683.21

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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.