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Finding the Fourth Proportional to 1,349.92, 1,861.95 and 826.21

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Solution

The fourth proportional to 1,349.92, 1,861.95 and 826.21 is: 1,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.92 : 1,861.95 = 826.21 : x
  2. Step 2: Convert to fraction form
    1,349.92/1,861.95 = 826.21/x
  3. Step 3: Cross multiply
    1,349.92x = 1,861.95 × 826.21
  4. Step 4: Simplify right side
    1,349.92x = 1,538,352.40
  5. Step 5: Solve for x
    x = 1,538,352.40/1,349.92
  6. Step 6: Final answer
    x = 1,139.59

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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.