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Finding the Fourth Proportional to 2,044.56, 3,066.30 and 890.04

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Solution

The fourth proportional to 2,044.56, 3,066.30 and 890.04 is: 1,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.56 : 3,066.30 = 890.04 : x
  2. Step 2: Convert to fraction form
    2,044.56/3,066.30 = 890.04/x
  3. Step 3: Cross multiply
    2,044.56x = 3,066.30 × 890.04
  4. Step 4: Simplify right side
    2,044.56x = 2,729,129.65
  5. Step 5: Solve for x
    x = 2,729,129.65/2,044.56
  6. Step 6: Final answer
    x = 1,334.82

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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.