Home / 1,586.92-2,189.96-923.60

Finding the Fourth Proportional to 1,586.92, 2,189.96 and 923.60

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Solution

The fourth proportional to 1,586.92, 2,189.96 and 923.60 is: 1,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.92 : 2,189.96 = 923.60 : x
  2. Step 2: Convert to fraction form
    1,586.92/2,189.96 = 923.60/x
  3. Step 3: Cross multiply
    1,586.92x = 2,189.96 × 923.60
  4. Step 4: Simplify right side
    1,586.92x = 2,022,636.96
  5. Step 5: Solve for x
    x = 2,022,636.96/1,586.92
  6. Step 6: Final answer
    x = 1,274.57

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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.