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Finding the Fourth Proportional to 2,173.90, 3,260.60 and 634.90

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Solution

The fourth proportional to 2,173.90, 3,260.60 and 634.90 is: 952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.90 : 3,260.60 = 634.90 : x
  2. Step 2: Convert to fraction form
    2,173.90/3,260.60 = 634.90/x
  3. Step 3: Cross multiply
    2,173.90x = 3,260.60 × 634.90
  4. Step 4: Simplify right side
    2,173.90x = 2,070,154.94
  5. Step 5: Solve for x
    x = 2,070,154.94/2,173.90
  6. Step 6: Final answer
    x = 952.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.