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Finding the Fourth Proportional to 2,069.10, 2,855.25 and 1,230.17

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Solution

The fourth proportional to 2,069.10, 2,855.25 and 1,230.17 is: 1,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.10 : 2,855.25 = 1,230.17 : x
  2. Step 2: Convert to fraction form
    2,069.10/2,855.25 = 1,230.17/x
  3. Step 3: Cross multiply
    2,069.10x = 2,855.25 × 1,230.17
  4. Step 4: Simplify right side
    2,069.10x = 3,512,428.62
  5. Step 5: Solve for x
    x = 3,512,428.62/2,069.10
  6. Step 6: Final answer
    x = 1,697.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.