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Finding the Fourth Proportional to 2,671.68, 4,007.42 and 1,209.80

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Solution

The fourth proportional to 2,671.68, 4,007.42 and 1,209.80 is: 1,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.68 : 4,007.42 = 1,209.80 : x
  2. Step 2: Convert to fraction form
    2,671.68/4,007.42 = 1,209.80/x
  3. Step 3: Cross multiply
    2,671.68x = 4,007.42 × 1,209.80
  4. Step 4: Simplify right side
    2,671.68x = 4,848,176.72
  5. Step 5: Solve for x
    x = 4,848,176.72/2,671.68
  6. Step 6: Final answer
    x = 1,814.65

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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.