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Finding the Fourth Proportional to 2,157.38, 3,235.54 and 696.54

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Solution

The fourth proportional to 2,157.38, 3,235.54 and 696.54 is: 1,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.38 : 3,235.54 = 696.54 : x
  2. Step 2: Convert to fraction form
    2,157.38/3,235.54 = 696.54/x
  3. Step 3: Cross multiply
    2,157.38x = 3,235.54 × 696.54
  4. Step 4: Simplify right side
    2,157.38x = 2,253,683.03
  5. Step 5: Solve for x
    x = 2,253,683.03/2,157.38
  6. Step 6: Final answer
    x = 1,044.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.