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Finding the Fourth Proportional to 2,745.56, 3,788.16 and 2,045.72

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Solution

The fourth proportional to 2,745.56, 3,788.16 and 2,045.72 is: 2,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.56 : 3,788.16 = 2,045.72 : x
  2. Step 2: Convert to fraction form
    2,745.56/3,788.16 = 2,045.72/x
  3. Step 3: Cross multiply
    2,745.56x = 3,788.16 × 2,045.72
  4. Step 4: Simplify right side
    2,745.56x = 7,749,514.68
  5. Step 5: Solve for x
    x = 7,749,514.68/2,745.56
  6. Step 6: Final answer
    x = 2,822.56

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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.