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Finding the Fourth Proportional to 1,645.75, 2,272.17 and 1,057.31

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Solution

The fourth proportional to 1,645.75, 2,272.17 and 1,057.31 is: 1,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.75 : 2,272.17 = 1,057.31 : x
  2. Step 2: Convert to fraction form
    1,645.75/2,272.17 = 1,057.31/x
  3. Step 3: Cross multiply
    1,645.75x = 2,272.17 × 1,057.31
  4. Step 4: Simplify right side
    1,645.75x = 2,402,388.06
  5. Step 5: Solve for x
    x = 2,402,388.06/1,645.75
  6. Step 6: Final answer
    x = 1,459.75

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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.