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Finding the Fourth Proportional to 3,306.57, 4,563 and 1,814.50

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Solution

The fourth proportional to 3,306.57, 4,563 and 1,814.50 is: 2,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.57 : 4,563 = 1,814.50 : x
  2. Step 2: Convert to fraction form
    3,306.57/4,563 = 1,814.50/x
  3. Step 3: Cross multiply
    3,306.57x = 4,563 × 1,814.50
  4. Step 4: Simplify right side
    3,306.57x = 8,279,563.50
  5. Step 5: Solve for x
    x = 8,279,563.50/3,306.57
  6. Step 6: Final answer
    x = 2,503.97

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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.