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Finding the Fourth Proportional to 2,408.60, 3,612.90 and 1,112.60

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Solution

The fourth proportional to 2,408.60, 3,612.90 and 1,112.60 is: 1,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.60 : 3,612.90 = 1,112.60 : x
  2. Step 2: Convert to fraction form
    2,408.60/3,612.90 = 1,112.60/x
  3. Step 3: Cross multiply
    2,408.60x = 3,612.90 × 1,112.60
  4. Step 4: Simplify right side
    2,408.60x = 4,019,712.54
  5. Step 5: Solve for x
    x = 4,019,712.54/2,408.60
  6. Step 6: Final answer
    x = 1,668.90

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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.