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Finding the Fourth Proportional to 1,586, 2,189.16 and 1,034

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Solution

The fourth proportional to 1,586, 2,189.16 and 1,034 is: 1,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586 : 2,189.16 = 1,034 : x
  2. Step 2: Convert to fraction form
    1,586/2,189.16 = 1,034/x
  3. Step 3: Cross multiply
    1,586x = 2,189.16 × 1,034
  4. Step 4: Simplify right side
    1,586x = 2,263,591.44
  5. Step 5: Solve for x
    x = 2,263,591.44/1,586
  6. Step 6: Final answer
    x = 1,427.23

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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.