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Finding the Fourth Proportional to 3,408.92, 4,703.10 and 2,230.68

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Solution

The fourth proportional to 3,408.92, 4,703.10 and 2,230.68 is: 3,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.92 : 4,703.10 = 2,230.68 : x
  2. Step 2: Convert to fraction form
    3,408.92/4,703.10 = 2,230.68/x
  3. Step 3: Cross multiply
    3,408.92x = 4,703.10 × 2,230.68
  4. Step 4: Simplify right side
    3,408.92x = 10,491,111.11
  5. Step 5: Solve for x
    x = 10,491,111.11/3,408.92
  6. Step 6: Final answer
    x = 3,077.55

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1.5x scale

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.