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Finding the Fourth Proportional to 2,074.69, 3,112.94 and 688.21

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Solution

The fourth proportional to 2,074.69, 3,112.94 and 688.21 is: 1,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.69 : 3,112.94 = 688.21 : x
  2. Step 2: Convert to fraction form
    2,074.69/3,112.94 = 688.21/x
  3. Step 3: Cross multiply
    2,074.69x = 3,112.94 × 688.21
  4. Step 4: Simplify right side
    2,074.69x = 2,142,356.44
  5. Step 5: Solve for x
    x = 2,142,356.44/2,074.69
  6. Step 6: Final answer
    x = 1,032.62

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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.