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Finding the Fourth Proportional to 2,877.30, 3,968.22 and 2,431.34

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Solution

The fourth proportional to 2,877.30, 3,968.22 and 2,431.34 is: 3,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.30 : 3,968.22 = 2,431.34 : x
  2. Step 2: Convert to fraction form
    2,877.30/3,968.22 = 2,431.34/x
  3. Step 3: Cross multiply
    2,877.30x = 3,968.22 × 2,431.34
  4. Step 4: Simplify right side
    2,877.30x = 9,648,092.01
  5. Step 5: Solve for x
    x = 9,648,092.01/2,877.30
  6. Step 6: Final answer
    x = 3,353.18

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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.