Home / 1,586.24-2,189.04-923.30

Finding the Fourth Proportional to 1,586.24, 2,189.04 and 923.30

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Solution

The fourth proportional to 1,586.24, 2,189.04 and 923.30 is: 1,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.24 : 2,189.04 = 923.30 : x
  2. Step 2: Convert to fraction form
    1,586.24/2,189.04 = 923.30/x
  3. Step 3: Cross multiply
    1,586.24x = 2,189.04 × 923.30
  4. Step 4: Simplify right side
    1,586.24x = 2,021,140.63
  5. Step 5: Solve for x
    x = 2,021,140.63/1,586.24
  6. Step 6: Final answer
    x = 1,274.17

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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.