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Finding the Fourth Proportional to 1,251.96, 1,876.67 and 840.14

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Solution

The fourth proportional to 1,251.96, 1,876.67 and 840.14 is: 1,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.96 : 1,876.67 = 840.14 : x
  2. Step 2: Convert to fraction form
    1,251.96/1,876.67 = 840.14/x
  3. Step 3: Cross multiply
    1,251.96x = 1,876.67 × 840.14
  4. Step 4: Simplify right side
    1,251.96x = 1,576,662.14
  5. Step 5: Solve for x
    x = 1,576,662.14/1,251.96
  6. Step 6: Final answer
    x = 1,259.36

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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.