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Finding the Fourth Proportional to 1,437.82, 2,155.43 and 851.38

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Solution

The fourth proportional to 1,437.82, 2,155.43 and 851.38 is: 1,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.82 : 2,155.43 = 851.38 : x
  2. Step 2: Convert to fraction form
    1,437.82/2,155.43 = 851.38/x
  3. Step 3: Cross multiply
    1,437.82x = 2,155.43 × 851.38
  4. Step 4: Simplify right side
    1,437.82x = 1,835,086.73
  5. Step 5: Solve for x
    x = 1,835,086.73/1,437.82
  6. Step 6: Final answer
    x = 1,276.30

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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.