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Finding the Fourth Proportional to 3,133.67, 4,700.65 and 1,745.96

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Solution

The fourth proportional to 3,133.67, 4,700.65 and 1,745.96 is: 2,619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.67 : 4,700.65 = 1,745.96 : x
  2. Step 2: Convert to fraction form
    3,133.67/4,700.65 = 1,745.96/x
  3. Step 3: Cross multiply
    3,133.67x = 4,700.65 × 1,745.96
  4. Step 4: Simplify right side
    3,133.67x = 8,207,146.87
  5. Step 5: Solve for x
    x = 8,207,146.87/3,133.67
  6. Step 6: Final answer
    x = 2,619.02

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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.