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Finding the Fourth Proportional to 3,167.89, 4,750.63 and 1,267.63

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Solution

The fourth proportional to 3,167.89, 4,750.63 and 1,267.63 is: 1,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.89 : 4,750.63 = 1,267.63 : x
  2. Step 2: Convert to fraction form
    3,167.89/4,750.63 = 1,267.63/x
  3. Step 3: Cross multiply
    3,167.89x = 4,750.63 × 1,267.63
  4. Step 4: Simplify right side
    3,167.89x = 6,022,026.06
  5. Step 5: Solve for x
    x = 6,022,026.06/3,167.89
  6. Step 6: Final answer
    x = 1,900.96

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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.