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Finding the Fourth Proportional to 2,262.72, 3,394.60 and 1,029.80

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Solution

The fourth proportional to 2,262.72, 3,394.60 and 1,029.80 is: 1,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.72 : 3,394.60 = 1,029.80 : x
  2. Step 2: Convert to fraction form
    2,262.72/3,394.60 = 1,029.80/x
  3. Step 3: Cross multiply
    2,262.72x = 3,394.60 × 1,029.80
  4. Step 4: Simplify right side
    2,262.72x = 3,495,764.99
  5. Step 5: Solve for x
    x = 3,495,764.99/2,262.72
  6. Step 6: Final answer
    x = 1,544.94

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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.