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Finding the Fourth Proportional to 1,821.66, 2,732.25 and 588.93

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Solution

The fourth proportional to 1,821.66, 2,732.25 and 588.93 is: 883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.66 : 2,732.25 = 588.93 : x
  2. Step 2: Convert to fraction form
    1,821.66/2,732.25 = 588.93/x
  3. Step 3: Cross multiply
    1,821.66x = 2,732.25 × 588.93
  4. Step 4: Simplify right side
    1,821.66x = 1,609,103.99
  5. Step 5: Solve for x
    x = 1,609,103.99/1,821.66
  6. Step 6: Final answer
    x = 883.32

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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.