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Finding the Fourth Proportional to 2,775.78, 3,832.28 and 2,642.57

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Solution

The fourth proportional to 2,775.78, 3,832.28 and 2,642.57 is: 3,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.78 : 3,832.28 = 2,642.57 : x
  2. Step 2: Convert to fraction form
    2,775.78/3,832.28 = 2,642.57/x
  3. Step 3: Cross multiply
    2,775.78x = 3,832.28 × 2,642.57
  4. Step 4: Simplify right side
    2,775.78x = 10,127,064.53
  5. Step 5: Solve for x
    x = 10,127,064.53/2,775.78
  6. Step 6: Final answer
    x = 3,648.37

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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.