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Finding the Fourth Proportional to 3,408.70, 4,702.26 and 2,289.76

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Solution

The fourth proportional to 3,408.70, 4,702.26 and 2,289.76 is: 3,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.70 : 4,702.26 = 2,289.76 : x
  2. Step 2: Convert to fraction form
    3,408.70/4,702.26 = 2,289.76/x
  3. Step 3: Cross multiply
    3,408.70x = 4,702.26 × 2,289.76
  4. Step 4: Simplify right side
    3,408.70x = 10,767,046.86
  5. Step 5: Solve for x
    x = 10,767,046.86/3,408.70
  6. Step 6: Final answer
    x = 3,158.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.