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Finding the Fourth Proportional to 2,174.44, 3,003.23 and 1,431.72

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Solution

The fourth proportional to 2,174.44, 3,003.23 and 1,431.72 is: 1,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.44 : 3,003.23 = 1,431.72 : x
  2. Step 2: Convert to fraction form
    2,174.44/3,003.23 = 1,431.72/x
  3. Step 3: Cross multiply
    2,174.44x = 3,003.23 × 1,431.72
  4. Step 4: Simplify right side
    2,174.44x = 4,299,784.81
  5. Step 5: Solve for x
    x = 4,299,784.81/2,174.44
  6. Step 6: Final answer
    x = 1,977.42

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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.