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Finding the Fourth Proportional to 3,206.70, 4,423.95 and 2,459.34

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Solution

The fourth proportional to 3,206.70, 4,423.95 and 2,459.34 is: 3,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.70 : 4,423.95 = 2,459.34 : x
  2. Step 2: Convert to fraction form
    3,206.70/4,423.95 = 2,459.34/x
  3. Step 3: Cross multiply
    3,206.70x = 4,423.95 × 2,459.34
  4. Step 4: Simplify right side
    3,206.70x = 10,879,997.19
  5. Step 5: Solve for x
    x = 10,879,997.19/3,206.70
  6. Step 6: Final answer
    x = 3,392.90

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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.