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Finding the Fourth Proportional to 1,586.17, 2,189.09 and 923.03

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Solution

The fourth proportional to 1,586.17, 2,189.09 and 923.03 is: 1,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.17 : 2,189.09 = 923.03 : x
  2. Step 2: Convert to fraction form
    1,586.17/2,189.09 = 923.03/x
  3. Step 3: Cross multiply
    1,586.17x = 2,189.09 × 923.03
  4. Step 4: Simplify right side
    1,586.17x = 2,020,595.74
  5. Step 5: Solve for x
    x = 2,020,595.74/1,586.17
  6. Step 6: Final answer
    x = 1,273.88

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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.