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Finding the Fourth Proportional to 1,586.52, 2,189.02 and 922.97

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Solution

The fourth proportional to 1,586.52, 2,189.02 and 922.97 is: 1,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.52 : 2,189.02 = 922.97 : x
  2. Step 2: Convert to fraction form
    1,586.52/2,189.02 = 922.97/x
  3. Step 3: Cross multiply
    1,586.52x = 2,189.02 × 922.97
  4. Step 4: Simplify right side
    1,586.52x = 2,020,399.79
  5. Step 5: Solve for x
    x = 2,020,399.79/1,586.52
  6. Step 6: Final answer
    x = 1,273.48

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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.