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Finding the Fourth Proportional to 2,680.56, 3,699.24 and 1,632

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Solution

The fourth proportional to 2,680.56, 3,699.24 and 1,632 is: 2,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.56 : 3,699.24 = 1,632 : x
  2. Step 2: Convert to fraction form
    2,680.56/3,699.24 = 1,632/x
  3. Step 3: Cross multiply
    2,680.56x = 3,699.24 × 1,632
  4. Step 4: Simplify right side
    2,680.56x = 6,037,159.68
  5. Step 5: Solve for x
    x = 6,037,159.68/2,680.56
  6. Step 6: Final answer
    x = 2,252.20

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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.