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Finding the Fourth Proportional to 1,426.06, 1,967.24 and 984.20

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Solution

The fourth proportional to 1,426.06, 1,967.24 and 984.20 is: 1,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.06 : 1,967.24 = 984.20 : x
  2. Step 2: Convert to fraction form
    1,426.06/1,967.24 = 984.20/x
  3. Step 3: Cross multiply
    1,426.06x = 1,967.24 × 984.20
  4. Step 4: Simplify right side
    1,426.06x = 1,936,152.69
  5. Step 5: Solve for x
    x = 1,936,152.69/1,426.06
  6. Step 6: Final answer
    x = 1,357.70

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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.