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Finding the Fourth Proportional to 2,624.40, 3,935.82 and 775.47

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Solution

The fourth proportional to 2,624.40, 3,935.82 and 775.47 is: 1,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.40 : 3,935.82 = 775.47 : x
  2. Step 2: Convert to fraction form
    2,624.40/3,935.82 = 775.47/x
  3. Step 3: Cross multiply
    2,624.40x = 3,935.82 × 775.47
  4. Step 4: Simplify right side
    2,624.40x = 3,052,110.34
  5. Step 5: Solve for x
    x = 3,052,110.34/2,624.40
  6. Step 6: Final answer
    x = 1,162.97

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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.