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Finding the Fourth Proportional to 1,644.56, 2,467.56 and 1,316.24

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Solution

The fourth proportional to 1,644.56, 2,467.56 and 1,316.24 is: 1,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.56 : 2,467.56 = 1,316.24 : x
  2. Step 2: Convert to fraction form
    1,644.56/2,467.56 = 1,316.24/x
  3. Step 3: Cross multiply
    1,644.56x = 2,467.56 × 1,316.24
  4. Step 4: Simplify right side
    1,644.56x = 3,247,901.17
  5. Step 5: Solve for x
    x = 3,247,901.17/1,644.56
  6. Step 6: Final answer
    x = 1,974.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.