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Finding the Fourth Proportional to 3,197.63, 4,413 and 1,800.65

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Solution

The fourth proportional to 3,197.63, 4,413 and 1,800.65 is: 2,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.63 : 4,413 = 1,800.65 : x
  2. Step 2: Convert to fraction form
    3,197.63/4,413 = 1,800.65/x
  3. Step 3: Cross multiply
    3,197.63x = 4,413 × 1,800.65
  4. Step 4: Simplify right side
    3,197.63x = 7,946,246.39
  5. Step 5: Solve for x
    x = 7,946,246.39/3,197.63
  6. Step 6: Final answer
    x = 2,485.05

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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.