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Finding the Fourth Proportional to 2,902.44, 4,005.27 and 1,722.84

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Solution

The fourth proportional to 2,902.44, 4,005.27 and 1,722.84 is: 2,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.44 : 4,005.27 = 1,722.84 : x
  2. Step 2: Convert to fraction form
    2,902.44/4,005.27 = 1,722.84/x
  3. Step 3: Cross multiply
    2,902.44x = 4,005.27 × 1,722.84
  4. Step 4: Simplify right side
    2,902.44x = 6,900,439.37
  5. Step 5: Solve for x
    x = 6,900,439.37/2,902.44
  6. Step 6: Final answer
    x = 2,377.46

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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.