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Finding the Fourth Proportional to 3,167.61, 4,752.23 and 976.37

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Solution

The fourth proportional to 3,167.61, 4,752.23 and 976.37 is: 1,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.61 : 4,752.23 = 976.37 : x
  2. Step 2: Convert to fraction form
    3,167.61/4,752.23 = 976.37/x
  3. Step 3: Cross multiply
    3,167.61x = 4,752.23 × 976.37
  4. Step 4: Simplify right side
    3,167.61x = 4,639,906.16
  5. Step 5: Solve for x
    x = 4,639,906.16/3,167.61
  6. Step 6: Final answer
    x = 1,464.80

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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.