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Finding the Fourth Proportional to 3,173.81, 4,761.68 and 1,420.28

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Solution

The fourth proportional to 3,173.81, 4,761.68 and 1,420.28 is: 2,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.81 : 4,761.68 = 1,420.28 : x
  2. Step 2: Convert to fraction form
    3,173.81/4,761.68 = 1,420.28/x
  3. Step 3: Cross multiply
    3,173.81x = 4,761.68 × 1,420.28
  4. Step 4: Simplify right side
    3,173.81x = 6,762,887.96
  5. Step 5: Solve for x
    x = 6,762,887.96/3,173.81
  6. Step 6: Final answer
    x = 2,130.85

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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.