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Finding the Fourth Proportional to 2,007.99, 3,012.53 and 775.98

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Solution

The fourth proportional to 2,007.99, 3,012.53 and 775.98 is: 1,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.99 : 3,012.53 = 775.98 : x
  2. Step 2: Convert to fraction form
    2,007.99/3,012.53 = 775.98/x
  3. Step 3: Cross multiply
    2,007.99x = 3,012.53 × 775.98
  4. Step 4: Simplify right side
    2,007.99x = 2,337,659.15
  5. Step 5: Solve for x
    x = 2,337,659.15/2,007.99
  6. Step 6: Final answer
    x = 1,164.18

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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.