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Finding the Fourth Proportional to 2,514.77, 3,773.18 and 872.47

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Solution

The fourth proportional to 2,514.77, 3,773.18 and 872.47 is: 1,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.77 : 3,773.18 = 872.47 : x
  2. Step 2: Convert to fraction form
    2,514.77/3,773.18 = 872.47/x
  3. Step 3: Cross multiply
    2,514.77x = 3,773.18 × 872.47
  4. Step 4: Simplify right side
    2,514.77x = 3,291,986.35
  5. Step 5: Solve for x
    x = 3,291,986.35/2,514.77
  6. Step 6: Final answer
    x = 1,309.06

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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.