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Finding the Fourth Proportional to 2,745.78, 4,113.41 and 1,513.77

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Solution

The fourth proportional to 2,745.78, 4,113.41 and 1,513.77 is: 2,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.78 : 4,113.41 = 1,513.77 : x
  2. Step 2: Convert to fraction form
    2,745.78/4,113.41 = 1,513.77/x
  3. Step 3: Cross multiply
    2,745.78x = 4,113.41 × 1,513.77
  4. Step 4: Simplify right side
    2,745.78x = 6,226,749.09
  5. Step 5: Solve for x
    x = 6,226,749.09/2,745.78
  6. Step 6: Final answer
    x = 2,267.75

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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.