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Finding the Fourth Proportional to 2,813.25, 4,219.88 and 761.25

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Solution

The fourth proportional to 2,813.25, 4,219.88 and 761.25 is: 1,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.25 : 4,219.88 = 761.25 : x
  2. Step 2: Convert to fraction form
    2,813.25/4,219.88 = 761.25/x
  3. Step 3: Cross multiply
    2,813.25x = 4,219.88 × 761.25
  4. Step 4: Simplify right side
    2,813.25x = 3,212,379.84
  5. Step 5: Solve for x
    x = 3,212,379.84/2,813.25
  6. Step 6: Final answer
    x = 1,141.88

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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.