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Finding the Fourth Proportional to 1,584.78, 2,187.08 and 921.97

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Solution

The fourth proportional to 1,584.78, 2,187.08 and 921.97 is: 1,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.78 : 2,187.08 = 921.97 : x
  2. Step 2: Convert to fraction form
    1,584.78/2,187.08 = 921.97/x
  3. Step 3: Cross multiply
    1,584.78x = 2,187.08 × 921.97
  4. Step 4: Simplify right side
    1,584.78x = 2,016,422.15
  5. Step 5: Solve for x
    x = 2,016,422.15/1,584.78
  6. Step 6: Final answer
    x = 1,272.37

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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.