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Finding the Fourth Proportional to 2,019.44, 2,785.92 and 1,233.34

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Solution

The fourth proportional to 2,019.44, 2,785.92 and 1,233.34 is: 1,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.44 : 2,785.92 = 1,233.34 : x
  2. Step 2: Convert to fraction form
    2,019.44/2,785.92 = 1,233.34/x
  3. Step 3: Cross multiply
    2,019.44x = 2,785.92 × 1,233.34
  4. Step 4: Simplify right side
    2,019.44x = 3,435,986.57
  5. Step 5: Solve for x
    x = 3,435,986.57/2,019.44
  6. Step 6: Final answer
    x = 1,701.46

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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.