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Finding the Fourth Proportional to 2,359.02, 3,537.81 and 819.66

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Solution

The fourth proportional to 2,359.02, 3,537.81 and 819.66 is: 1,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.02 : 3,537.81 = 819.66 : x
  2. Step 2: Convert to fraction form
    2,359.02/3,537.81 = 819.66/x
  3. Step 3: Cross multiply
    2,359.02x = 3,537.81 × 819.66
  4. Step 4: Simplify right side
    2,359.02x = 2,899,801.34
  5. Step 5: Solve for x
    x = 2,899,801.34/2,359.02
  6. Step 6: Final answer
    x = 1,229.24

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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.