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Finding the Fourth Proportional to 7,219.49, 10,830.43 and 2,290.31

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Solution

The fourth proportional to 7,219.49, 10,830.43 and 2,290.31 is: 3,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.49 : 10,830.43 = 2,290.31 : x
  2. Step 2: Convert to fraction form
    7,219.49/10,830.43 = 2,290.31/x
  3. Step 3: Cross multiply
    7,219.49x = 10,830.43 × 2,290.31
  4. Step 4: Simplify right side
    7,219.49x = 24,805,083.59
  5. Step 5: Solve for x
    x = 24,805,083.59/7,219.49
  6. Step 6: Final answer
    x = 3,435.85

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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.