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Finding the Fourth Proportional to 2,121.81, 3,181.56 and 735.03

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Solution

The fourth proportional to 2,121.81, 3,181.56 and 735.03 is: 1,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.81 : 3,181.56 = 735.03 : x
  2. Step 2: Convert to fraction form
    2,121.81/3,181.56 = 735.03/x
  3. Step 3: Cross multiply
    2,121.81x = 3,181.56 × 735.03
  4. Step 4: Simplify right side
    2,121.81x = 2,338,535.31
  5. Step 5: Solve for x
    x = 2,338,535.31/2,121.81
  6. Step 6: Final answer
    x = 1,102.14

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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.