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Finding the Fourth Proportional to 3,012.80, 4,519.63 and 932.99

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Solution

The fourth proportional to 3,012.80, 4,519.63 and 932.99 is: 1,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.80 : 4,519.63 = 932.99 : x
  2. Step 2: Convert to fraction form
    3,012.80/4,519.63 = 932.99/x
  3. Step 3: Cross multiply
    3,012.80x = 4,519.63 × 932.99
  4. Step 4: Simplify right side
    3,012.80x = 4,216,748.16
  5. Step 5: Solve for x
    x = 4,216,748.16/3,012.80
  6. Step 6: Final answer
    x = 1,399.61

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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.