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Finding the Fourth Proportional to 2,688.97, 4,031.38 and 838.99

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Solution

The fourth proportional to 2,688.97, 4,031.38 and 838.99 is: 1,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.97 : 4,031.38 = 838.99 : x
  2. Step 2: Convert to fraction form
    2,688.97/4,031.38 = 838.99/x
  3. Step 3: Cross multiply
    2,688.97x = 4,031.38 × 838.99
  4. Step 4: Simplify right side
    2,688.97x = 3,382,287.51
  5. Step 5: Solve for x
    x = 3,382,287.51/2,688.97
  6. Step 6: Final answer
    x = 1,257.84

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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.