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Finding the Fourth Proportional to 2,609.08, 3,913.62 and 1,069

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Solution

The fourth proportional to 2,609.08, 3,913.62 and 1,069 is: 1,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.08 : 3,913.62 = 1,069 : x
  2. Step 2: Convert to fraction form
    2,609.08/3,913.62 = 1,069/x
  3. Step 3: Cross multiply
    2,609.08x = 3,913.62 × 1,069
  4. Step 4: Simplify right side
    2,609.08x = 4,183,659.78
  5. Step 5: Solve for x
    x = 4,183,659.78/2,609.08
  6. Step 6: Final answer
    x = 1,603.50

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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.