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Finding the Fourth Proportional to 1,827.70, 2,741.49 and 529.15

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Solution

The fourth proportional to 1,827.70, 2,741.49 and 529.15 is: 793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.70 : 2,741.49 = 529.15 : x
  2. Step 2: Convert to fraction form
    1,827.70/2,741.49 = 529.15/x
  3. Step 3: Cross multiply
    1,827.70x = 2,741.49 × 529.15
  4. Step 4: Simplify right side
    1,827.70x = 1,450,659.43
  5. Step 5: Solve for x
    x = 1,450,659.43/1,827.70
  6. Step 6: Final answer
    x = 793.71

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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.