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Finding the Fourth Proportional to 1,960.37, 2,705.06 and 1,213.52

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Solution

The fourth proportional to 1,960.37, 2,705.06 and 1,213.52 is: 1,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.37 : 2,705.06 = 1,213.52 : x
  2. Step 2: Convert to fraction form
    1,960.37/2,705.06 = 1,213.52/x
  3. Step 3: Cross multiply
    1,960.37x = 2,705.06 × 1,213.52
  4. Step 4: Simplify right side
    1,960.37x = 3,282,644.41
  5. Step 5: Solve for x
    x = 3,282,644.41/1,960.37
  6. Step 6: Final answer
    x = 1,674.50

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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.