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Finding the Fourth Proportional to 2,950.72, 4,425.60 and 976.34

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Solution

The fourth proportional to 2,950.72, 4,425.60 and 976.34 is: 1,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.72 : 4,425.60 = 976.34 : x
  2. Step 2: Convert to fraction form
    2,950.72/4,425.60 = 976.34/x
  3. Step 3: Cross multiply
    2,950.72x = 4,425.60 × 976.34
  4. Step 4: Simplify right side
    2,950.72x = 4,320,890.30
  5. Step 5: Solve for x
    x = 4,320,890.30/2,950.72
  6. Step 6: Final answer
    x = 1,464.35

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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.