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Finding the Fourth Proportional to 1,889.78, 2,611.12 and 1,823.24

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Solution

The fourth proportional to 1,889.78, 2,611.12 and 1,823.24 is: 2,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.78 : 2,611.12 = 1,823.24 : x
  2. Step 2: Convert to fraction form
    1,889.78/2,611.12 = 1,823.24/x
  3. Step 3: Cross multiply
    1,889.78x = 2,611.12 × 1,823.24
  4. Step 4: Simplify right side
    1,889.78x = 4,760,698.43
  5. Step 5: Solve for x
    x = 4,760,698.43/1,889.78
  6. Step 6: Final answer
    x = 2,519.18

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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.