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Finding the Fourth Proportional to 1,821.64, 2,717.38 and 1,797.88

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Solution

The fourth proportional to 1,821.64, 2,717.38 and 1,797.88 is: 2,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.64 : 2,717.38 = 1,797.88 : x
  2. Step 2: Convert to fraction form
    1,821.64/2,717.38 = 1,797.88/x
  3. Step 3: Cross multiply
    1,821.64x = 2,717.38 × 1,797.88
  4. Step 4: Simplify right side
    1,821.64x = 4,885,523.15
  5. Step 5: Solve for x
    x = 4,885,523.15/1,821.64
  6. Step 6: Final answer
    x = 2,681.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.