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Finding the Fourth Proportional to 3,266.07, 4,899.65 and 1,512.83

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Solution

The fourth proportional to 3,266.07, 4,899.65 and 1,512.83 is: 2,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.07 : 4,899.65 = 1,512.83 : x
  2. Step 2: Convert to fraction form
    3,266.07/4,899.65 = 1,512.83/x
  3. Step 3: Cross multiply
    3,266.07x = 4,899.65 × 1,512.83
  4. Step 4: Simplify right side
    3,266.07x = 7,412,305.45
  5. Step 5: Solve for x
    x = 7,412,305.45/3,266.07
  6. Step 6: Final answer
    x = 2,269.49

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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.