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Finding the Fourth Proportional to 1,501.96, 2,072.68 and 838.82

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Solution

The fourth proportional to 1,501.96, 2,072.68 and 838.82 is: 1,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.96 : 2,072.68 = 838.82 : x
  2. Step 2: Convert to fraction form
    1,501.96/2,072.68 = 838.82/x
  3. Step 3: Cross multiply
    1,501.96x = 2,072.68 × 838.82
  4. Step 4: Simplify right side
    1,501.96x = 1,738,606.49
  5. Step 5: Solve for x
    x = 1,738,606.49/1,501.96
  6. Step 6: Final answer
    x = 1,157.56

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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.