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Finding the Fourth Proportional to 2,408.66, 3,612.96 and 1,924.79

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Solution

The fourth proportional to 2,408.66, 3,612.96 and 1,924.79 is: 2,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.66 : 3,612.96 = 1,924.79 : x
  2. Step 2: Convert to fraction form
    2,408.66/3,612.96 = 1,924.79/x
  3. Step 3: Cross multiply
    2,408.66x = 3,612.96 × 1,924.79
  4. Step 4: Simplify right side
    2,408.66x = 6,954,171.21
  5. Step 5: Solve for x
    x = 6,954,171.21/2,408.66
  6. Step 6: Final answer
    x = 2,887.16

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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.