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Finding the Fourth Proportional to 1,635.04, 2,448.78 and 984.34

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Solution

The fourth proportional to 1,635.04, 2,448.78 and 984.34 is: 1,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.04 : 2,448.78 = 984.34 : x
  2. Step 2: Convert to fraction form
    1,635.04/2,448.78 = 984.34/x
  3. Step 3: Cross multiply
    1,635.04x = 2,448.78 × 984.34
  4. Step 4: Simplify right side
    1,635.04x = 2,410,432.11
  5. Step 5: Solve for x
    x = 2,410,432.11/1,635.04
  6. Step 6: Final answer
    x = 1,474.23

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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.