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Finding the Fourth Proportional to 2,214.30, 3,321.90 and 753.51

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Solution

The fourth proportional to 2,214.30, 3,321.90 and 753.51 is: 1,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.30 : 3,321.90 = 753.51 : x
  2. Step 2: Convert to fraction form
    2,214.30/3,321.90 = 753.51/x
  3. Step 3: Cross multiply
    2,214.30x = 3,321.90 × 753.51
  4. Step 4: Simplify right side
    2,214.30x = 2,503,084.87
  5. Step 5: Solve for x
    x = 2,503,084.87/2,214.30
  6. Step 6: Final answer
    x = 1,130.42

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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.