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Finding the Fourth Proportional to 2,688.72, 4,033.41 and 840.30

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Solution

The fourth proportional to 2,688.72, 4,033.41 and 840.30 is: 1,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.72 : 4,033.41 = 840.30 : x
  2. Step 2: Convert to fraction form
    2,688.72/4,033.41 = 840.30/x
  3. Step 3: Cross multiply
    2,688.72x = 4,033.41 × 840.30
  4. Step 4: Simplify right side
    2,688.72x = 3,389,274.42
  5. Step 5: Solve for x
    x = 3,389,274.42/2,688.72
  6. Step 6: Final answer
    x = 1,260.55

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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.