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Finding the Fourth Proportional to 1,292.66, 1,936.14 and 882.56

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Solution

The fourth proportional to 1,292.66, 1,936.14 and 882.56 is: 1,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.66 : 1,936.14 = 882.56 : x
  2. Step 2: Convert to fraction form
    1,292.66/1,936.14 = 882.56/x
  3. Step 3: Cross multiply
    1,292.66x = 1,936.14 × 882.56
  4. Step 4: Simplify right side
    1,292.66x = 1,708,759.72
  5. Step 5: Solve for x
    x = 1,708,759.72/1,292.66
  6. Step 6: Final answer
    x = 1,321.89

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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.