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Finding the Fourth Proportional to 2,624.05, 3,935.73 and 775.36

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Solution

The fourth proportional to 2,624.05, 3,935.73 and 775.36 is: 1,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.05 : 3,935.73 = 775.36 : x
  2. Step 2: Convert to fraction form
    2,624.05/3,935.73 = 775.36/x
  3. Step 3: Cross multiply
    2,624.05x = 3,935.73 × 775.36
  4. Step 4: Simplify right side
    2,624.05x = 3,051,597.77
  5. Step 5: Solve for x
    x = 3,051,597.77/2,624.05
  6. Step 6: Final answer
    x = 1,162.94

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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.