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Finding the Fourth Proportional to 2,867.01, 4,297.78 and 917.88

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Solution

The fourth proportional to 2,867.01, 4,297.78 and 917.88 is: 1,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.01 : 4,297.78 = 917.88 : x
  2. Step 2: Convert to fraction form
    2,867.01/4,297.78 = 917.88/x
  3. Step 3: Cross multiply
    2,867.01x = 4,297.78 × 917.88
  4. Step 4: Simplify right side
    2,867.01x = 3,944,841.72
  5. Step 5: Solve for x
    x = 3,944,841.72/2,867.01
  6. Step 6: Final answer
    x = 1,375.94

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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.