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Finding the Fourth Proportional to 1,815.96, 2,723.70 and 517.54

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Solution

The fourth proportional to 1,815.96, 2,723.70 and 517.54 is: 776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.96 : 2,723.70 = 517.54 : x
  2. Step 2: Convert to fraction form
    1,815.96/2,723.70 = 517.54/x
  3. Step 3: Cross multiply
    1,815.96x = 2,723.70 × 517.54
  4. Step 4: Simplify right side
    1,815.96x = 1,409,623.70
  5. Step 5: Solve for x
    x = 1,409,623.70/1,815.96
  6. Step 6: Final answer
    x = 776.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.