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Finding the Fourth Proportional to 2,914.76, 4,023.94 and 1,972.04

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Solution

The fourth proportional to 2,914.76, 4,023.94 and 1,972.04 is: 2,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.76 : 4,023.94 = 1,972.04 : x
  2. Step 2: Convert to fraction form
    2,914.76/4,023.94 = 1,972.04/x
  3. Step 3: Cross multiply
    2,914.76x = 4,023.94 × 1,972.04
  4. Step 4: Simplify right side
    2,914.76x = 7,935,370.64
  5. Step 5: Solve for x
    x = 7,935,370.64/2,914.76
  6. Step 6: Final answer
    x = 2,722.48

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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.