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Finding the Fourth Proportional to 2,431.97, 3,354.01 and 1,580.87

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Solution

The fourth proportional to 2,431.97, 3,354.01 and 1,580.87 is: 2,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.97 : 3,354.01 = 1,580.87 : x
  2. Step 2: Convert to fraction form
    2,431.97/3,354.01 = 1,580.87/x
  3. Step 3: Cross multiply
    2,431.97x = 3,354.01 × 1,580.87
  4. Step 4: Simplify right side
    2,431.97x = 5,302,239.36
  5. Step 5: Solve for x
    x = 5,302,239.36/2,431.97
  6. Step 6: Final answer
    x = 2,180.22

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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.