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Finding the Fourth Proportional to 1,427.47, 2,141.31 and 550.39

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Solution

The fourth proportional to 1,427.47, 2,141.31 and 550.39 is: 825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.47 : 2,141.31 = 550.39 : x
  2. Step 2: Convert to fraction form
    1,427.47/2,141.31 = 550.39/x
  3. Step 3: Cross multiply
    1,427.47x = 2,141.31 × 550.39
  4. Step 4: Simplify right side
    1,427.47x = 1,178,555.61
  5. Step 5: Solve for x
    x = 1,178,555.61/1,427.47
  6. Step 6: Final answer
    x = 825.63

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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.