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Finding the Fourth Proportional to 1,645.92, 2,270.95 and 1,057.25

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Solution

The fourth proportional to 1,645.92, 2,270.95 and 1,057.25 is: 1,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.92 : 2,270.95 = 1,057.25 : x
  2. Step 2: Convert to fraction form
    1,645.92/2,270.95 = 1,057.25/x
  3. Step 3: Cross multiply
    1,645.92x = 2,270.95 × 1,057.25
  4. Step 4: Simplify right side
    1,645.92x = 2,400,964.92
  5. Step 5: Solve for x
    x = 2,400,964.92/1,645.92
  6. Step 6: Final answer
    x = 1,458.74

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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.