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Finding the Fourth Proportional to 1,644.71, 2,270.23 and 1,114.36

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Solution

The fourth proportional to 1,644.71, 2,270.23 and 1,114.36 is: 1,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.71 : 2,270.23 = 1,114.36 : x
  2. Step 2: Convert to fraction form
    1,644.71/2,270.23 = 1,114.36/x
  3. Step 3: Cross multiply
    1,644.71x = 2,270.23 × 1,114.36
  4. Step 4: Simplify right side
    1,644.71x = 2,529,845.04
  5. Step 5: Solve for x
    x = 2,529,845.04/1,644.71
  6. Step 6: Final answer
    x = 1,538.18

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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.