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Finding the Fourth Proportional to 1,821.64, 2,732.43 and 453.64

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Solution

The fourth proportional to 1,821.64, 2,732.43 and 453.64 is: 680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.64 : 2,732.43 = 453.64 : x
  2. Step 2: Convert to fraction form
    1,821.64/2,732.43 = 453.64/x
  3. Step 3: Cross multiply
    1,821.64x = 2,732.43 × 453.64
  4. Step 4: Simplify right side
    1,821.64x = 1,239,539.55
  5. Step 5: Solve for x
    x = 1,239,539.55/1,821.64
  6. Step 6: Final answer
    x = 680.45

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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.