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Finding the Fourth Proportional to 1,586.43, 2,189.26 and 878.28

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Solution

The fourth proportional to 1,586.43, 2,189.26 and 878.28 is: 1,212.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.43 : 2,189.26 = 878.28 : x
  2. Step 2: Convert to fraction form
    1,586.43/2,189.26 = 878.28/x
  3. Step 3: Cross multiply
    1,586.43x = 2,189.26 × 878.28
  4. Step 4: Simplify right side
    1,586.43x = 1,922,776.16
  5. Step 5: Solve for x
    x = 1,922,776.16/1,586.43
  6. Step 6: Final answer
    x = 1,212.01

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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.