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Finding the Fourth Proportional to 2,214.11, 3,320.95 and 753.09

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Solution

The fourth proportional to 2,214.11, 3,320.95 and 753.09 is: 1,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.11 : 3,320.95 = 753.09 : x
  2. Step 2: Convert to fraction form
    2,214.11/3,320.95 = 753.09/x
  3. Step 3: Cross multiply
    2,214.11x = 3,320.95 × 753.09
  4. Step 4: Simplify right side
    2,214.11x = 2,500,974.24
  5. Step 5: Solve for x
    x = 2,500,974.24/2,214.11
  6. Step 6: Final answer
    x = 1,129.56

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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.