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Finding the Fourth Proportional to 1,958.90, 2,706.85 and 1,426.85

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Solution

The fourth proportional to 1,958.90, 2,706.85 and 1,426.85 is: 1,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.90 : 2,706.85 = 1,426.85 : x
  2. Step 2: Convert to fraction form
    1,958.90/2,706.85 = 1,426.85/x
  3. Step 3: Cross multiply
    1,958.90x = 2,706.85 × 1,426.85
  4. Step 4: Simplify right side
    1,958.90x = 3,862,272.12
  5. Step 5: Solve for x
    x = 3,862,272.12/1,958.90
  6. Step 6: Final answer
    x = 1,971.66

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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.