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Finding the Fourth Proportional to 1,501.82, 2,072.49 and 838.65

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Solution

The fourth proportional to 1,501.82, 2,072.49 and 838.65 is: 1,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.82 : 2,072.49 = 838.65 : x
  2. Step 2: Convert to fraction form
    1,501.82/2,072.49 = 838.65/x
  3. Step 3: Cross multiply
    1,501.82x = 2,072.49 × 838.65
  4. Step 4: Simplify right side
    1,501.82x = 1,738,093.74
  5. Step 5: Solve for x
    x = 1,738,093.74/1,501.82
  6. Step 6: Final answer
    x = 1,157.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.