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Finding the Fourth Proportional to 2,043.63, 3,066.17 and 873.14

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Solution

The fourth proportional to 2,043.63, 3,066.17 and 873.14 is: 1,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.63 : 3,066.17 = 873.14 : x
  2. Step 2: Convert to fraction form
    2,043.63/3,066.17 = 873.14/x
  3. Step 3: Cross multiply
    2,043.63x = 3,066.17 × 873.14
  4. Step 4: Simplify right side
    2,043.63x = 2,677,175.98
  5. Step 5: Solve for x
    x = 2,677,175.98/2,043.63
  6. Step 6: Final answer
    x = 1,310.01

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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.