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Finding the Fourth Proportional to 2,784.08, 4,175.97 and 935.21

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Solution

The fourth proportional to 2,784.08, 4,175.97 and 935.21 is: 1,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.08 : 4,175.97 = 935.21 : x
  2. Step 2: Convert to fraction form
    2,784.08/4,175.97 = 935.21/x
  3. Step 3: Cross multiply
    2,784.08x = 4,175.97 × 935.21
  4. Step 4: Simplify right side
    2,784.08x = 3,905,388.02
  5. Step 5: Solve for x
    x = 3,905,388.02/2,784.08
  6. Step 6: Final answer
    x = 1,402.76

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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.