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Finding the Fourth Proportional to 3,141.34, 4,715.43 and 1,826.53

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Solution

The fourth proportional to 3,141.34, 4,715.43 and 1,826.53 is: 2,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.34 : 4,715.43 = 1,826.53 : x
  2. Step 2: Convert to fraction form
    3,141.34/4,715.43 = 1,826.53/x
  3. Step 3: Cross multiply
    3,141.34x = 4,715.43 × 1,826.53
  4. Step 4: Simplify right side
    3,141.34x = 8,612,874.36
  5. Step 5: Solve for x
    x = 8,612,874.36/3,141.34
  6. Step 6: Final answer
    x = 2,741.78

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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.