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Finding the Fourth Proportional to 2,044.23, 3,065.56 and 873.49

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Solution

The fourth proportional to 2,044.23, 3,065.56 and 873.49 is: 1,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.23 : 3,065.56 = 873.49 : x
  2. Step 2: Convert to fraction form
    2,044.23/3,065.56 = 873.49/x
  3. Step 3: Cross multiply
    2,044.23x = 3,065.56 × 873.49
  4. Step 4: Simplify right side
    2,044.23x = 2,677,736.00
  5. Step 5: Solve for x
    x = 2,677,736.00/2,044.23
  6. Step 6: Final answer
    x = 1,309.90

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1.5x scale

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.