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Finding the Fourth Proportional to 2,214.46, 3,321.90 and 753.64

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Solution

The fourth proportional to 2,214.46, 3,321.90 and 753.64 is: 1,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.46 : 3,321.90 = 753.64 : x
  2. Step 2: Convert to fraction form
    2,214.46/3,321.90 = 753.64/x
  3. Step 3: Cross multiply
    2,214.46x = 3,321.90 × 753.64
  4. Step 4: Simplify right side
    2,214.46x = 2,503,516.72
  5. Step 5: Solve for x
    x = 2,503,516.72/2,214.46
  6. Step 6: Final answer
    x = 1,130.53

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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.