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Finding the Fourth Proportional to 3,199.86, 4,798.08 and 1,467

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Solution

The fourth proportional to 3,199.86, 4,798.08 and 1,467 is: 2,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.86 : 4,798.08 = 1,467 : x
  2. Step 2: Convert to fraction form
    3,199.86/4,798.08 = 1,467/x
  3. Step 3: Cross multiply
    3,199.86x = 4,798.08 × 1,467
  4. Step 4: Simplify right side
    3,199.86x = 7,038,783.36
  5. Step 5: Solve for x
    x = 7,038,783.36/3,199.86
  6. Step 6: Final answer
    x = 2,199.72

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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.