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Finding the Fourth Proportional to 3,173.67, 4,761.49 and 1,420.15

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Solution

The fourth proportional to 3,173.67, 4,761.49 and 1,420.15 is: 2,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.67 : 4,761.49 = 1,420.15 : x
  2. Step 2: Convert to fraction form
    3,173.67/4,761.49 = 1,420.15/x
  3. Step 3: Cross multiply
    3,173.67x = 4,761.49 × 1,420.15
  4. Step 4: Simplify right side
    3,173.67x = 6,762,014.57
  5. Step 5: Solve for x
    x = 6,762,014.57/3,173.67
  6. Step 6: Final answer
    x = 2,130.66

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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.