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Finding the Fourth Proportional to 1,474.39, 2,035.86 and 951.31

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Solution

The fourth proportional to 1,474.39, 2,035.86 and 951.31 is: 1,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.39 : 2,035.86 = 951.31 : x
  2. Step 2: Convert to fraction form
    1,474.39/2,035.86 = 951.31/x
  3. Step 3: Cross multiply
    1,474.39x = 2,035.86 × 951.31
  4. Step 4: Simplify right side
    1,474.39x = 1,936,733.98
  5. Step 5: Solve for x
    x = 1,936,733.98/1,474.39
  6. Step 6: Final answer
    x = 1,313.58

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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.