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Finding the Fourth Proportional to 2,033.70, 3,050.48 and 862.95

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Solution

The fourth proportional to 2,033.70, 3,050.48 and 862.95 is: 1,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.70 : 3,050.48 = 862.95 : x
  2. Step 2: Convert to fraction form
    2,033.70/3,050.48 = 862.95/x
  3. Step 3: Cross multiply
    2,033.70x = 3,050.48 × 862.95
  4. Step 4: Simplify right side
    2,033.70x = 2,632,392.15
  5. Step 5: Solve for x
    x = 2,632,392.15/2,033.70
  6. Step 6: Final answer
    x = 1,294.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.