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Finding the Fourth Proportional to 2,688.59, 4,033.87 and 839.84

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Solution

The fourth proportional to 2,688.59, 4,033.87 and 839.84 is: 1,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.59 : 4,033.87 = 839.84 : x
  2. Step 2: Convert to fraction form
    2,688.59/4,033.87 = 839.84/x
  3. Step 3: Cross multiply
    2,688.59x = 4,033.87 × 839.84
  4. Step 4: Simplify right side
    2,688.59x = 3,387,783.11
  5. Step 5: Solve for x
    x = 3,387,783.11/2,688.59
  6. Step 6: Final answer
    x = 1,260.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.