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Finding the Fourth Proportional to 1,958.75, 2,702.94 and 1,074.37

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Solution

The fourth proportional to 1,958.75, 2,702.94 and 1,074.37 is: 1,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.75 : 2,702.94 = 1,074.37 : x
  2. Step 2: Convert to fraction form
    1,958.75/2,702.94 = 1,074.37/x
  3. Step 3: Cross multiply
    1,958.75x = 2,702.94 × 1,074.37
  4. Step 4: Simplify right side
    1,958.75x = 2,903,957.65
  5. Step 5: Solve for x
    x = 2,903,957.65/1,958.75
  6. Step 6: Final answer
    x = 1,482.56

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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.