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Finding the Fourth Proportional to 2,034.85, 3,051.26 and 864.73

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Solution

The fourth proportional to 2,034.85, 3,051.26 and 864.73 is: 1,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.85 : 3,051.26 = 864.73 : x
  2. Step 2: Convert to fraction form
    2,034.85/3,051.26 = 864.73/x
  3. Step 3: Cross multiply
    2,034.85x = 3,051.26 × 864.73
  4. Step 4: Simplify right side
    2,034.85x = 2,638,511.74
  5. Step 5: Solve for x
    x = 2,638,511.74/2,034.85
  6. Step 6: Final answer
    x = 1,296.66

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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.