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Finding the Fourth Proportional to 2,514.98, 3,773.62 and 872.72

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Solution

The fourth proportional to 2,514.98, 3,773.62 and 872.72 is: 1,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.98 : 3,773.62 = 872.72 : x
  2. Step 2: Convert to fraction form
    2,514.98/3,773.62 = 872.72/x
  3. Step 3: Cross multiply
    2,514.98x = 3,773.62 × 872.72
  4. Step 4: Simplify right side
    2,514.98x = 3,293,313.65
  5. Step 5: Solve for x
    x = 3,293,313.65/2,514.98
  6. Step 6: Final answer
    x = 1,309.48

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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.