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Finding the Fourth Proportional to 2,007.56, 3,010.80 and 775.64

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Solution

The fourth proportional to 2,007.56, 3,010.80 and 775.64 is: 1,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.56 : 3,010.80 = 775.64 : x
  2. Step 2: Convert to fraction form
    2,007.56/3,010.80 = 775.64/x
  3. Step 3: Cross multiply
    2,007.56x = 3,010.80 × 775.64
  4. Step 4: Simplify right side
    2,007.56x = 2,335,296.91
  5. Step 5: Solve for x
    x = 2,335,296.91/2,007.56
  6. Step 6: Final answer
    x = 1,163.25

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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.