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Finding the Fourth Proportional to 1,958.26, 2,930.03 and 1,374.40

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Solution

The fourth proportional to 1,958.26, 2,930.03 and 1,374.40 is: 2,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.26 : 2,930.03 = 1,374.40 : x
  2. Step 2: Convert to fraction form
    1,958.26/2,930.03 = 1,374.40/x
  3. Step 3: Cross multiply
    1,958.26x = 2,930.03 × 1,374.40
  4. Step 4: Simplify right side
    1,958.26x = 4,027,033.23
  5. Step 5: Solve for x
    x = 4,027,033.23/1,958.26
  6. Step 6: Final answer
    x = 2,056.43

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