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Finding the Fourth Proportional to 1,571.38, 2,167.55 and 1,129.88

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Solution

The fourth proportional to 1,571.38, 2,167.55 and 1,129.88 is: 1,558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.38 : 2,167.55 = 1,129.88 : x
  2. Step 2: Convert to fraction form
    1,571.38/2,167.55 = 1,129.88/x
  3. Step 3: Cross multiply
    1,571.38x = 2,167.55 × 1,129.88
  4. Step 4: Simplify right side
    1,571.38x = 2,449,065.74
  5. Step 5: Solve for x
    x = 2,449,065.74/1,571.38
  6. Step 6: Final answer
    x = 1,558.54

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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.