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Finding the Fourth Proportional to 2,813.14, 4,219.70 and 761.14

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Solution

The fourth proportional to 2,813.14, 4,219.70 and 761.14 is: 1,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.14 : 4,219.70 = 761.14 : x
  2. Step 2: Convert to fraction form
    2,813.14/4,219.70 = 761.14/x
  3. Step 3: Cross multiply
    2,813.14x = 4,219.70 × 761.14
  4. Step 4: Simplify right side
    2,813.14x = 3,211,782.46
  5. Step 5: Solve for x
    x = 3,211,782.46/2,813.14
  6. Step 6: Final answer
    x = 1,141.71

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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.