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Finding the Fourth Proportional to 1,627.26, 2,240.79 and 1,590.94

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Solution

The fourth proportional to 1,627.26, 2,240.79 and 1,590.94 is: 2,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.26 : 2,240.79 = 1,590.94 : x
  2. Step 2: Convert to fraction form
    1,627.26/2,240.79 = 1,590.94/x
  3. Step 3: Cross multiply
    1,627.26x = 2,240.79 × 1,590.94
  4. Step 4: Simplify right side
    1,627.26x = 3,564,962.44
  5. Step 5: Solve for x
    x = 3,564,962.44/1,627.26
  6. Step 6: Final answer
    x = 2,190.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.