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Finding the Fourth Proportional to 3,167.32, 4,751.42 and 976.22

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Solution

The fourth proportional to 3,167.32, 4,751.42 and 976.22 is: 1,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.32 : 4,751.42 = 976.22 : x
  2. Step 2: Convert to fraction form
    3,167.32/4,751.42 = 976.22/x
  3. Step 3: Cross multiply
    3,167.32x = 4,751.42 × 976.22
  4. Step 4: Simplify right side
    3,167.32x = 4,638,431.23
  5. Step 5: Solve for x
    x = 4,638,431.23/3,167.32
  6. Step 6: Final answer
    x = 1,464.47

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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.