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Finding the Fourth Proportional to 2,308.60, 3,186.84 and 1,469.35

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Solution

The fourth proportional to 2,308.60, 3,186.84 and 1,469.35 is: 2,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.60 : 3,186.84 = 1,469.35 : x
  2. Step 2: Convert to fraction form
    2,308.60/3,186.84 = 1,469.35/x
  3. Step 3: Cross multiply
    2,308.60x = 3,186.84 × 1,469.35
  4. Step 4: Simplify right side
    2,308.60x = 4,682,583.35
  5. Step 5: Solve for x
    x = 4,682,583.35/2,308.60
  6. Step 6: Final answer
    x = 2,028.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.