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Finding the Fourth Proportional to 2,008.07, 3,011.56 and 775.25

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Solution

The fourth proportional to 2,008.07, 3,011.56 and 775.25 is: 1,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.07 : 3,011.56 = 775.25 : x
  2. Step 2: Convert to fraction form
    2,008.07/3,011.56 = 775.25/x
  3. Step 3: Cross multiply
    2,008.07x = 3,011.56 × 775.25
  4. Step 4: Simplify right side
    2,008.07x = 2,334,694.89
  5. Step 5: Solve for x
    x = 2,334,694.89/2,008.07
  6. Step 6: Final answer
    x = 1,162.66

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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.