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Finding the Fourth Proportional to 1,693.44, 2,331.75 and 1,482.43

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Solution

The fourth proportional to 1,693.44, 2,331.75 and 1,482.43 is: 2,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.44 : 2,331.75 = 1,482.43 : x
  2. Step 2: Convert to fraction form
    1,693.44/2,331.75 = 1,482.43/x
  3. Step 3: Cross multiply
    1,693.44x = 2,331.75 × 1,482.43
  4. Step 4: Simplify right side
    1,693.44x = 3,456,657.21
  5. Step 5: Solve for x
    x = 3,456,657.21/1,693.44
  6. Step 6: Final answer
    x = 2,041.21

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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.