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Finding the Fourth Proportional to 1,821.68, 2,732.41 and 588.99

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Solution

The fourth proportional to 1,821.68, 2,732.41 and 588.99 is: 883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.68 : 2,732.41 = 588.99 : x
  2. Step 2: Convert to fraction form
    1,821.68/2,732.41 = 588.99/x
  3. Step 3: Cross multiply
    1,821.68x = 2,732.41 × 588.99
  4. Step 4: Simplify right side
    1,821.68x = 1,609,356.12
  5. Step 5: Solve for x
    x = 1,609,356.12/1,821.68
  6. Step 6: Final answer
    x = 883.45

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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.