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Finding the Fourth Proportional to 2,866.42, 3,954.20 and 1,872.28

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Solution

The fourth proportional to 2,866.42, 3,954.20 and 1,872.28 is: 2,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.42 : 3,954.20 = 1,872.28 : x
  2. Step 2: Convert to fraction form
    2,866.42/3,954.20 = 1,872.28/x
  3. Step 3: Cross multiply
    2,866.42x = 3,954.20 × 1,872.28
  4. Step 4: Simplify right side
    2,866.42x = 7,403,369.58
  5. Step 5: Solve for x
    x = 7,403,369.58/2,866.42
  6. Step 6: Final answer
    x = 2,582.79

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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.