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Finding the Fourth Proportional to 2,903.44, 4,005.78 and 1,644.36

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Solution

The fourth proportional to 2,903.44, 4,005.78 and 1,644.36 is: 2,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.44 : 4,005.78 = 1,644.36 : x
  2. Step 2: Convert to fraction form
    2,903.44/4,005.78 = 1,644.36/x
  3. Step 3: Cross multiply
    2,903.44x = 4,005.78 × 1,644.36
  4. Step 4: Simplify right side
    2,903.44x = 6,586,944.40
  5. Step 5: Solve for x
    x = 6,586,944.40/2,903.44
  6. Step 6: Final answer
    x = 2,268.67

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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.