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Finding the Fourth Proportional to 3,167.31, 4,750.96 and 976.03

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Solution

The fourth proportional to 3,167.31, 4,750.96 and 976.03 is: 1,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.31 : 4,750.96 = 976.03 : x
  2. Step 2: Convert to fraction form
    3,167.31/4,750.96 = 976.03/x
  3. Step 3: Cross multiply
    3,167.31x = 4,750.96 × 976.03
  4. Step 4: Simplify right side
    3,167.31x = 4,637,097.88
  5. Step 5: Solve for x
    x = 4,637,097.88/3,167.31
  6. Step 6: Final answer
    x = 1,464.05

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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.