Home / 1,586.56-2,189.82-923.44

Finding the Fourth Proportional to 1,586.56, 2,189.82 and 923.44

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Solution

The fourth proportional to 1,586.56, 2,189.82 and 923.44 is: 1,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.56 : 2,189.82 = 923.44 : x
  2. Step 2: Convert to fraction form
    1,586.56/2,189.82 = 923.44/x
  3. Step 3: Cross multiply
    1,586.56x = 2,189.82 × 923.44
  4. Step 4: Simplify right side
    1,586.56x = 2,022,167.38
  5. Step 5: Solve for x
    x = 2,022,167.38/1,586.56
  6. Step 6: Final answer
    x = 1,274.56

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1.5x scale

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.