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Finding the Fourth Proportional to 2,044.42, 3,066.07 and 873.84

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Solution

The fourth proportional to 2,044.42, 3,066.07 and 873.84 is: 1,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.42 : 3,066.07 = 873.84 : x
  2. Step 2: Convert to fraction form
    2,044.42/3,066.07 = 873.84/x
  3. Step 3: Cross multiply
    2,044.42x = 3,066.07 × 873.84
  4. Step 4: Simplify right side
    2,044.42x = 2,679,239.28
  5. Step 5: Solve for x
    x = 2,679,239.28/2,044.42
  6. Step 6: Final answer
    x = 1,310.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.