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Finding the Fourth Proportional to 1,972.77, 2,722.62 and 1,474.56

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Solution

The fourth proportional to 1,972.77, 2,722.62 and 1,474.56 is: 2,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.77 : 2,722.62 = 1,474.56 : x
  2. Step 2: Convert to fraction form
    1,972.77/2,722.62 = 1,474.56/x
  3. Step 3: Cross multiply
    1,972.77x = 2,722.62 × 1,474.56
  4. Step 4: Simplify right side
    1,972.77x = 4,014,666.55
  5. Step 5: Solve for x
    x = 4,014,666.55/1,972.77
  6. Step 6: Final answer
    x = 2,035.04

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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.