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Finding the Fourth Proportional to 2,115.44, 3,172.65 and 634.35

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Solution

The fourth proportional to 2,115.44, 3,172.65 and 634.35 is: 951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.44 : 3,172.65 = 634.35 : x
  2. Step 2: Convert to fraction form
    2,115.44/3,172.65 = 634.35/x
  3. Step 3: Cross multiply
    2,115.44x = 3,172.65 × 634.35
  4. Step 4: Simplify right side
    2,115.44x = 2,012,570.53
  5. Step 5: Solve for x
    x = 2,012,570.53/2,115.44
  6. Step 6: Final answer
    x = 951.37

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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.