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Finding the Fourth Proportional to 2,872.53, 3,964.14 and 1,677.24

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Solution

The fourth proportional to 2,872.53, 3,964.14 and 1,677.24 is: 2,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.53 : 3,964.14 = 1,677.24 : x
  2. Step 2: Convert to fraction form
    2,872.53/3,964.14 = 1,677.24/x
  3. Step 3: Cross multiply
    2,872.53x = 3,964.14 × 1,677.24
  4. Step 4: Simplify right side
    2,872.53x = 6,648,814.17
  5. Step 5: Solve for x
    x = 6,648,814.17/2,872.53
  6. Step 6: Final answer
    x = 2,314.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.