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Finding the Fourth Proportional to 1,882.46, 2,824.05 and 842.51

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Solution

The fourth proportional to 1,882.46, 2,824.05 and 842.51 is: 1,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.46 : 2,824.05 = 842.51 : x
  2. Step 2: Convert to fraction form
    1,882.46/2,824.05 = 842.51/x
  3. Step 3: Cross multiply
    1,882.46x = 2,824.05 × 842.51
  4. Step 4: Simplify right side
    1,882.46x = 2,379,290.37
  5. Step 5: Solve for x
    x = 2,379,290.37/1,882.46
  6. Step 6: Final answer
    x = 1,263.93

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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.