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Finding the Fourth Proportional to 2,421.33, 3,631.95 and 755.48

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Solution

The fourth proportional to 2,421.33, 3,631.95 and 755.48 is: 1,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.33 : 3,631.95 = 755.48 : x
  2. Step 2: Convert to fraction form
    2,421.33/3,631.95 = 755.48/x
  3. Step 3: Cross multiply
    2,421.33x = 3,631.95 × 755.48
  4. Step 4: Simplify right side
    2,421.33x = 2,743,847.43
  5. Step 5: Solve for x
    x = 2,743,847.43/2,421.33
  6. Step 6: Final answer
    x = 1,133.20

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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.