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Finding the Fourth Proportional to 2,043.21, 3,065.30 and 889.29

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Solution

The fourth proportional to 2,043.21, 3,065.30 and 889.29 is: 1,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.21 : 3,065.30 = 889.29 : x
  2. Step 2: Convert to fraction form
    2,043.21/3,065.30 = 889.29/x
  3. Step 3: Cross multiply
    2,043.21x = 3,065.30 × 889.29
  4. Step 4: Simplify right side
    2,043.21x = 2,725,936.19
  5. Step 5: Solve for x
    x = 2,725,936.19/2,043.21
  6. Step 6: Final answer
    x = 1,334.14

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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.