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Finding the Fourth Proportional to 2,149.58, 3,222.27 and 917.30

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Solution

The fourth proportional to 2,149.58, 3,222.27 and 917.30 is: 1,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.58 : 3,222.27 = 917.30 : x
  2. Step 2: Convert to fraction form
    2,149.58/3,222.27 = 917.30/x
  3. Step 3: Cross multiply
    2,149.58x = 3,222.27 × 917.30
  4. Step 4: Simplify right side
    2,149.58x = 2,955,772.16
  5. Step 5: Solve for x
    x = 2,955,772.16/2,149.58
  6. Step 6: Final answer
    x = 1,375.05

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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.