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Finding the Fourth Proportional to 2,351.78, 3,528.46 and 891.34

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Solution

The fourth proportional to 2,351.78, 3,528.46 and 891.34 is: 1,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.78 : 3,528.46 = 891.34 : x
  2. Step 2: Convert to fraction form
    2,351.78/3,528.46 = 891.34/x
  3. Step 3: Cross multiply
    2,351.78x = 3,528.46 × 891.34
  4. Step 4: Simplify right side
    2,351.78x = 3,145,057.54
  5. Step 5: Solve for x
    x = 3,145,057.54/2,351.78
  6. Step 6: Final answer
    x = 1,337.31

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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.