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Finding the Fourth Proportional to 1,783.81, 2,462.34 and 1,596.97

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Solution

The fourth proportional to 1,783.81, 2,462.34 and 1,596.97 is: 2,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.81 : 2,462.34 = 1,596.97 : x
  2. Step 2: Convert to fraction form
    1,783.81/2,462.34 = 1,596.97/x
  3. Step 3: Cross multiply
    1,783.81x = 2,462.34 × 1,596.97
  4. Step 4: Simplify right side
    1,783.81x = 3,932,283.11
  5. Step 5: Solve for x
    x = 3,932,283.11/1,783.81
  6. Step 6: Final answer
    x = 2,204.43

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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.