Home / 1,586.39-2,188.46-1,027.04

Finding the Fourth Proportional to 1,586.39, 2,188.46 and 1,027.04

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Solution

The fourth proportional to 1,586.39, 2,188.46 and 1,027.04 is: 1,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.39 : 2,188.46 = 1,027.04 : x
  2. Step 2: Convert to fraction form
    1,586.39/2,188.46 = 1,027.04/x
  3. Step 3: Cross multiply
    1,586.39x = 2,188.46 × 1,027.04
  4. Step 4: Simplify right side
    1,586.39x = 2,247,627.58
  5. Step 5: Solve for x
    x = 2,247,627.58/1,586.39
  6. Step 6: Final answer
    x = 1,416.82

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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.