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Finding the Fourth Proportional to 2,519.02, 3,776.00 and 958.62

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Solution

The fourth proportional to 2,519.02, 3,776.00 and 958.62 is: 1,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.02 : 3,776.00 = 958.62 : x
  2. Step 2: Convert to fraction form
    2,519.02/3,776.00 = 958.62/x
  3. Step 3: Cross multiply
    2,519.02x = 3,776.00 × 958.62
  4. Step 4: Simplify right side
    2,519.02x = 3,619,744.33
  5. Step 5: Solve for x
    x = 3,619,744.33/2,519.02
  6. Step 6: Final answer
    x = 1,436.97

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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.