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Finding the Fourth Proportional to 2,946.96, 4,065.38 and 1,704.24

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Solution

The fourth proportional to 2,946.96, 4,065.38 and 1,704.24 is: 2,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.96 : 4,065.38 = 1,704.24 : x
  2. Step 2: Convert to fraction form
    2,946.96/4,065.38 = 1,704.24/x
  3. Step 3: Cross multiply
    2,946.96x = 4,065.38 × 1,704.24
  4. Step 4: Simplify right side
    2,946.96x = 6,928,383.21
  5. Step 5: Solve for x
    x = 6,928,383.21/2,946.96
  6. Step 6: Final answer
    x = 2,351.03

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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.