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Finding the Fourth Proportional to 2,876.40, 3,967.56 and 2,351.60

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Solution

The fourth proportional to 2,876.40, 3,967.56 and 2,351.60 is: 3,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.40 : 3,967.56 = 2,351.60 : x
  2. Step 2: Convert to fraction form
    2,876.40/3,967.56 = 2,351.60/x
  3. Step 3: Cross multiply
    2,876.40x = 3,967.56 × 2,351.60
  4. Step 4: Simplify right side
    2,876.40x = 9,330,114.10
  5. Step 5: Solve for x
    x = 9,330,114.10/2,876.40
  6. Step 6: Final answer
    x = 3,243.68

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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.