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Finding the Fourth Proportional to 3,259.06, 4,890.52 and 1,616.50

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Solution

The fourth proportional to 3,259.06, 4,890.52 and 1,616.50 is: 2,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.06 : 4,890.52 = 1,616.50 : x
  2. Step 2: Convert to fraction form
    3,259.06/4,890.52 = 1,616.50/x
  3. Step 3: Cross multiply
    3,259.06x = 4,890.52 × 1,616.50
  4. Step 4: Simplify right side
    3,259.06x = 7,905,525.58
  5. Step 5: Solve for x
    x = 7,905,525.58/3,259.06
  6. Step 6: Final answer
    x = 2,425.71

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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.