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Finding the Fourth Proportional to 3,269.95, 4,905.22 and 1,078.69

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Solution

The fourth proportional to 3,269.95, 4,905.22 and 1,078.69 is: 1,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.95 : 4,905.22 = 1,078.69 : x
  2. Step 2: Convert to fraction form
    3,269.95/4,905.22 = 1,078.69/x
  3. Step 3: Cross multiply
    3,269.95x = 4,905.22 × 1,078.69
  4. Step 4: Simplify right side
    3,269.95x = 5,291,211.76
  5. Step 5: Solve for x
    x = 5,291,211.76/3,269.95
  6. Step 6: Final answer
    x = 1,618.13

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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.