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Finding the Fourth Proportional to 2,819.81, 4,230 and 1,175.43

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Solution

The fourth proportional to 2,819.81, 4,230 and 1,175.43 is: 1,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.81 : 4,230 = 1,175.43 : x
  2. Step 2: Convert to fraction form
    2,819.81/4,230 = 1,175.43/x
  3. Step 3: Cross multiply
    2,819.81x = 4,230 × 1,175.43
  4. Step 4: Simplify right side
    2,819.81x = 4,972,068.90
  5. Step 5: Solve for x
    x = 4,972,068.90/2,819.81
  6. Step 6: Final answer
    x = 1,763.27

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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.