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Finding the Fourth Proportional to 2,408.10, 3,323.02 and 1,360.10

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Solution

The fourth proportional to 2,408.10, 3,323.02 and 1,360.10 is: 1,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.10 : 3,323.02 = 1,360.10 : x
  2. Step 2: Convert to fraction form
    2,408.10/3,323.02 = 1,360.10/x
  3. Step 3: Cross multiply
    2,408.10x = 3,323.02 × 1,360.10
  4. Step 4: Simplify right side
    2,408.10x = 4,519,616.09
  5. Step 5: Solve for x
    x = 4,519,616.09/2,408.10
  6. Step 6: Final answer
    x = 1,876.84

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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.