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Finding the Fourth Proportional to 3,197.38, 4,412.16 and 1,800.40

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Solution

The fourth proportional to 3,197.38, 4,412.16 and 1,800.40 is: 2,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.38 : 4,412.16 = 1,800.40 : x
  2. Step 2: Convert to fraction form
    3,197.38/4,412.16 = 1,800.40/x
  3. Step 3: Cross multiply
    3,197.38x = 4,412.16 × 1,800.40
  4. Step 4: Simplify right side
    3,197.38x = 7,943,652.86
  5. Step 5: Solve for x
    x = 7,943,652.86/3,197.38
  6. Step 6: Final answer
    x = 2,484.43

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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.