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Finding the Fourth Proportional to 1,784.62, 2,672.10 and 1,291.54

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Solution

The fourth proportional to 1,784.62, 2,672.10 and 1,291.54 is: 1,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.62 : 2,672.10 = 1,291.54 : x
  2. Step 2: Convert to fraction form
    1,784.62/2,672.10 = 1,291.54/x
  3. Step 3: Cross multiply
    1,784.62x = 2,672.10 × 1,291.54
  4. Step 4: Simplify right side
    1,784.62x = 3,451,124.03
  5. Step 5: Solve for x
    x = 3,451,124.03/1,784.62
  6. Step 6: Final answer
    x = 1,933.81

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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.