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Finding the Fourth Proportional to 2,308.87, 3,464.74 and 1,076.39

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Solution

The fourth proportional to 2,308.87, 3,464.74 and 1,076.39 is: 1,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.87 : 3,464.74 = 1,076.39 : x
  2. Step 2: Convert to fraction form
    2,308.87/3,464.74 = 1,076.39/x
  3. Step 3: Cross multiply
    2,308.87x = 3,464.74 × 1,076.39
  4. Step 4: Simplify right side
    2,308.87x = 3,729,408.50
  5. Step 5: Solve for x
    x = 3,729,408.50/2,308.87
  6. Step 6: Final answer
    x = 1,615.25

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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.