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Finding the Fourth Proportional to 2,919.44, 4,381.09 and 1,071.09

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Solution

The fourth proportional to 2,919.44, 4,381.09 and 1,071.09 is: 1,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.44 : 4,381.09 = 1,071.09 : x
  2. Step 2: Convert to fraction form
    2,919.44/4,381.09 = 1,071.09/x
  3. Step 3: Cross multiply
    2,919.44x = 4,381.09 × 1,071.09
  4. Step 4: Simplify right side
    2,919.44x = 4,692,539.01
  5. Step 5: Solve for x
    x = 4,692,539.01/2,919.44
  6. Step 6: Final answer
    x = 1,607.34

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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.