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Finding the Fourth Proportional to 1,684.42, 2,324.51 and 1,020.81

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Solution

The fourth proportional to 1,684.42, 2,324.51 and 1,020.81 is: 1,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.42 : 2,324.51 = 1,020.81 : x
  2. Step 2: Convert to fraction form
    1,684.42/2,324.51 = 1,020.81/x
  3. Step 3: Cross multiply
    1,684.42x = 2,324.51 × 1,020.81
  4. Step 4: Simplify right side
    1,684.42x = 2,372,883.05
  5. Step 5: Solve for x
    x = 2,372,883.05/1,684.42
  6. Step 6: Final answer
    x = 1,408.72

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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.