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Finding the Fourth Proportional to 1,683.78, 2,324.61 and 1,496.73

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Solution

The fourth proportional to 1,683.78, 2,324.61 and 1,496.73 is: 2,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.78 : 2,324.61 = 1,496.73 : x
  2. Step 2: Convert to fraction form
    1,683.78/2,324.61 = 1,496.73/x
  3. Step 3: Cross multiply
    1,683.78x = 2,324.61 × 1,496.73
  4. Step 4: Simplify right side
    1,683.78x = 3,479,313.53
  5. Step 5: Solve for x
    x = 3,479,313.53/1,683.78
  6. Step 6: Final answer
    x = 2,066.37

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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.