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Finding the Fourth Proportional to 2,713.55, 3,745.54 and 1,767.68

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Solution

The fourth proportional to 2,713.55, 3,745.54 and 1,767.68 is: 2,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.55 : 3,745.54 = 1,767.68 : x
  2. Step 2: Convert to fraction form
    2,713.55/3,745.54 = 1,767.68/x
  3. Step 3: Cross multiply
    2,713.55x = 3,745.54 × 1,767.68
  4. Step 4: Simplify right side
    2,713.55x = 6,620,897.42
  5. Step 5: Solve for x
    x = 6,620,897.42/2,713.55
  6. Step 6: Final answer
    x = 2,439.94

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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.