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Finding the Fourth Proportional to 1,644.57, 2,268.86 and 1,085.33

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Solution

The fourth proportional to 1,644.57, 2,268.86 and 1,085.33 is: 1,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.57 : 2,268.86 = 1,085.33 : x
  2. Step 2: Convert to fraction form
    1,644.57/2,268.86 = 1,085.33/x
  3. Step 3: Cross multiply
    1,644.57x = 2,268.86 × 1,085.33
  4. Step 4: Simplify right side
    1,644.57x = 2,462,445.05
  5. Step 5: Solve for x
    x = 2,462,445.05/1,644.57
  6. Step 6: Final answer
    x = 1,497.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.