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Finding the Fourth Proportional to 2,891.21, 4,338.15 and 917.15

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Solution

The fourth proportional to 2,891.21, 4,338.15 and 917.15 is: 1,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.21 : 4,338.15 = 917.15 : x
  2. Step 2: Convert to fraction form
    2,891.21/4,338.15 = 917.15/x
  3. Step 3: Cross multiply
    2,891.21x = 4,338.15 × 917.15
  4. Step 4: Simplify right side
    2,891.21x = 3,978,712.58
  5. Step 5: Solve for x
    x = 3,978,712.58/2,891.21
  6. Step 6: Final answer
    x = 1,376.14

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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.