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Finding the Fourth Proportional to 2,015.64, 2,781.74 and 1,219.07

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Solution

The fourth proportional to 2,015.64, 2,781.74 and 1,219.07 is: 1,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.64 : 2,781.74 = 1,219.07 : x
  2. Step 2: Convert to fraction form
    2,015.64/2,781.74 = 1,219.07/x
  3. Step 3: Cross multiply
    2,015.64x = 2,781.74 × 1,219.07
  4. Step 4: Simplify right side
    2,015.64x = 3,391,145.78
  5. Step 5: Solve for x
    x = 3,391,145.78/2,015.64
  6. Step 6: Final answer
    x = 1,682.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.