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Finding the Fourth Proportional to 3,408, 4,703.08 and 2,063.59

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Solution

The fourth proportional to 3,408, 4,703.08 and 2,063.59 is: 2,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408 : 4,703.08 = 2,063.59 : x
  2. Step 2: Convert to fraction form
    3,408/4,703.08 = 2,063.59/x
  3. Step 3: Cross multiply
    3,408x = 4,703.08 × 2,063.59
  4. Step 4: Simplify right side
    3,408x = 9,705,205.34
  5. Step 5: Solve for x
    x = 9,705,205.34/3,408
  6. Step 6: Final answer
    x = 2,847.77

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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.