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Finding the Fourth Proportional to 1,674.50, 2,495.97 and 1,621.43

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Solution

The fourth proportional to 1,674.50, 2,495.97 and 1,621.43 is: 2,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.50 : 2,495.97 = 1,621.43 : x
  2. Step 2: Convert to fraction form
    1,674.50/2,495.97 = 1,621.43/x
  3. Step 3: Cross multiply
    1,674.50x = 2,495.97 × 1,621.43
  4. Step 4: Simplify right side
    1,674.50x = 4,047,028.16
  5. Step 5: Solve for x
    x = 4,047,028.16/1,674.50
  6. Step 6: Final answer
    x = 2,416.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.