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Finding the Fourth Proportional to 1,821.57, 2,732.49 and 588.84

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Solution

The fourth proportional to 1,821.57, 2,732.49 and 588.84 is: 883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.57 : 2,732.49 = 588.84 : x
  2. Step 2: Convert to fraction form
    1,821.57/2,732.49 = 588.84/x
  3. Step 3: Cross multiply
    1,821.57x = 2,732.49 × 588.84
  4. Step 4: Simplify right side
    1,821.57x = 1,608,999.41
  5. Step 5: Solve for x
    x = 1,608,999.41/1,821.57
  6. Step 6: Final answer
    x = 883.30

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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.