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Finding the Fourth Proportional to 2,617.50, 3,612.96 and 1,686

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Solution

The fourth proportional to 2,617.50, 3,612.96 and 1,686 is: 2,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.50 : 3,612.96 = 1,686 : x
  2. Step 2: Convert to fraction form
    2,617.50/3,612.96 = 1,686/x
  3. Step 3: Cross multiply
    2,617.50x = 3,612.96 × 1,686
  4. Step 4: Simplify right side
    2,617.50x = 6,091,450.56
  5. Step 5: Solve for x
    x = 6,091,450.56/2,617.50
  6. Step 6: Final answer
    x = 2,327.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.