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Finding the Fourth Proportional to 2,173.39, 3,260.63 and 634.39

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Solution

The fourth proportional to 2,173.39, 3,260.63 and 634.39 is: 951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.39 : 3,260.63 = 634.39 : x
  2. Step 2: Convert to fraction form
    2,173.39/3,260.63 = 634.39/x
  3. Step 3: Cross multiply
    2,173.39x = 3,260.63 × 634.39
  4. Step 4: Simplify right side
    2,173.39x = 2,068,507.89
  5. Step 5: Solve for x
    x = 2,068,507.89/2,173.39
  6. Step 6: Final answer
    x = 951.74

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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.