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Finding the Fourth Proportional to 1,684.36, 2,324.06 and 1,063

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Solution

The fourth proportional to 1,684.36, 2,324.06 and 1,063 is: 1,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.36 : 2,324.06 = 1,063 : x
  2. Step 2: Convert to fraction form
    1,684.36/2,324.06 = 1,063/x
  3. Step 3: Cross multiply
    1,684.36x = 2,324.06 × 1,063
  4. Step 4: Simplify right side
    1,684.36x = 2,470,475.78
  5. Step 5: Solve for x
    x = 2,470,475.78/1,684.36
  6. Step 6: Final answer
    x = 1,466.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.