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Finding the Fourth Proportional to 1,722.87, 2,366.01 and 1,474.20

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Solution

The fourth proportional to 1,722.87, 2,366.01 and 1,474.20 is: 2,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.87 : 2,366.01 = 1,474.20 : x
  2. Step 2: Convert to fraction form
    1,722.87/2,366.01 = 1,474.20/x
  3. Step 3: Cross multiply
    1,722.87x = 2,366.01 × 1,474.20
  4. Step 4: Simplify right side
    1,722.87x = 3,487,971.94
  5. Step 5: Solve for x
    x = 3,487,971.94/1,722.87
  6. Step 6: Final answer
    x = 2,024.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.