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Finding the Fourth Proportional to 2,784.93, 4,175.41 and 1,397.27

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Solution

The fourth proportional to 2,784.93, 4,175.41 and 1,397.27 is: 2,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.93 : 4,175.41 = 1,397.27 : x
  2. Step 2: Convert to fraction form
    2,784.93/4,175.41 = 1,397.27/x
  3. Step 3: Cross multiply
    2,784.93x = 4,175.41 × 1,397.27
  4. Step 4: Simplify right side
    2,784.93x = 5,834,147.27
  5. Step 5: Solve for x
    x = 5,834,147.27/2,784.93
  6. Step 6: Final answer
    x = 2,094.90

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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.