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Finding the Fourth Proportional to 1,958.50, 2,702.69 and 1,074.28

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Solution

The fourth proportional to 1,958.50, 2,702.69 and 1,074.28 is: 1,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.50 : 2,702.69 = 1,074.28 : x
  2. Step 2: Convert to fraction form
    1,958.50/2,702.69 = 1,074.28/x
  3. Step 3: Cross multiply
    1,958.50x = 2,702.69 × 1,074.28
  4. Step 4: Simplify right side
    1,958.50x = 2,903,433.69
  5. Step 5: Solve for x
    x = 2,903,433.69/1,958.50
  6. Step 6: Final answer
    x = 1,482.48

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