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Finding the Fourth Proportional to 2,800, 4,197.16 and 1,157.46

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Solution

The fourth proportional to 2,800, 4,197.16 and 1,157.46 is: 1,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800 : 4,197.16 = 1,157.46 : x
  2. Step 2: Convert to fraction form
    2,800/4,197.16 = 1,157.46/x
  3. Step 3: Cross multiply
    2,800x = 4,197.16 × 1,157.46
  4. Step 4: Simplify right side
    2,800x = 4,858,044.81
  5. Step 5: Solve for x
    x = 4,858,044.81/2,800
  6. Step 6: Final answer
    x = 1,735.02

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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.