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Finding the Fourth Proportional to 2,214.13, 3,321.20 and 675.13

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Solution

The fourth proportional to 2,214.13, 3,321.20 and 675.13 is: 1,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.13 : 3,321.20 = 675.13 : x
  2. Step 2: Convert to fraction form
    2,214.13/3,321.20 = 675.13/x
  3. Step 3: Cross multiply
    2,214.13x = 3,321.20 × 675.13
  4. Step 4: Simplify right side
    2,214.13x = 2,242,241.76
  5. Step 5: Solve for x
    x = 2,242,241.76/2,214.13
  6. Step 6: Final answer
    x = 1,012.70

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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.