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Finding the Fourth Proportional to 1,644.56, 2,265.64 and 1,146.30

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Solution

The fourth proportional to 1,644.56, 2,265.64 and 1,146.30 is: 1,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.56 : 2,265.64 = 1,146.30 : x
  2. Step 2: Convert to fraction form
    1,644.56/2,265.64 = 1,146.30/x
  3. Step 3: Cross multiply
    1,644.56x = 2,265.64 × 1,146.30
  4. Step 4: Simplify right side
    1,644.56x = 2,597,103.13
  5. Step 5: Solve for x
    x = 2,597,103.13/1,644.56
  6. Step 6: Final answer
    x = 1,579.21

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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.