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Finding the Fourth Proportional to 1,972.89, 2,723.19 and 1,274.25

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Solution

The fourth proportional to 1,972.89, 2,723.19 and 1,274.25 is: 1,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.89 : 2,723.19 = 1,274.25 : x
  2. Step 2: Convert to fraction form
    1,972.89/2,723.19 = 1,274.25/x
  3. Step 3: Cross multiply
    1,972.89x = 2,723.19 × 1,274.25
  4. Step 4: Simplify right side
    1,972.89x = 3,470,024.86
  5. Step 5: Solve for x
    x = 3,470,024.86/1,972.89
  6. Step 6: Final answer
    x = 1,758.85

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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.