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Finding the Fourth Proportional to 3,205.50, 4,805.55 and 1,259.10

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Solution

The fourth proportional to 3,205.50, 4,805.55 and 1,259.10 is: 1,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.50 : 4,805.55 = 1,259.10 : x
  2. Step 2: Convert to fraction form
    3,205.50/4,805.55 = 1,259.10/x
  3. Step 3: Cross multiply
    3,205.50x = 4,805.55 × 1,259.10
  4. Step 4: Simplify right side
    3,205.50x = 6,050,668.01
  5. Step 5: Solve for x
    x = 6,050,668.01/3,205.50
  6. Step 6: Final answer
    x = 1,887.59

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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.