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Finding the Fourth Proportional to 2,791.40, 4,187.80 and 1,971.26

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Solution

The fourth proportional to 2,791.40, 4,187.80 and 1,971.26 is: 2,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.40 : 4,187.80 = 1,971.26 : x
  2. Step 2: Convert to fraction form
    2,791.40/4,187.80 = 1,971.26/x
  3. Step 3: Cross multiply
    2,791.40x = 4,187.80 × 1,971.26
  4. Step 4: Simplify right side
    2,791.40x = 8,255,242.63
  5. Step 5: Solve for x
    x = 8,255,242.63/2,791.40
  6. Step 6: Final answer
    x = 2,957.38

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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.