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Finding the Fourth Proportional to 1,644.50, 2,254.60 and 1,614.94

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Solution

The fourth proportional to 1,644.50, 2,254.60 and 1,614.94 is: 2,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.50 : 2,254.60 = 1,614.94 : x
  2. Step 2: Convert to fraction form
    1,644.50/2,254.60 = 1,614.94/x
  3. Step 3: Cross multiply
    1,644.50x = 2,254.60 × 1,614.94
  4. Step 4: Simplify right side
    1,644.50x = 3,641,043.72
  5. Step 5: Solve for x
    x = 3,641,043.72/1,644.50
  6. Step 6: Final answer
    x = 2,214.07

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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.