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Finding the Fourth Proportional to 1,405.10, 1,936.98 and 984.15

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Solution

The fourth proportional to 1,405.10, 1,936.98 and 984.15 is: 1,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.10 : 1,936.98 = 984.15 : x
  2. Step 2: Convert to fraction form
    1,405.10/1,936.98 = 984.15/x
  3. Step 3: Cross multiply
    1,405.10x = 1,936.98 × 984.15
  4. Step 4: Simplify right side
    1,405.10x = 1,906,278.87
  5. Step 5: Solve for x
    x = 1,906,278.87/1,405.10
  6. Step 6: Final answer
    x = 1,356.68

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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.