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Finding the Fourth Proportional to 1,822.38, 2,732.90 and 589.47

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Solution

The fourth proportional to 1,822.38, 2,732.90 and 589.47 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.38 : 2,732.90 = 589.47 : x
  2. Step 2: Convert to fraction form
    1,822.38/2,732.90 = 589.47/x
  3. Step 3: Cross multiply
    1,822.38x = 2,732.90 × 589.47
  4. Step 4: Simplify right side
    1,822.38x = 1,610,959.62
  5. Step 5: Solve for x
    x = 1,610,959.62/1,822.38
  6. Step 6: Final answer
    x = 883.99

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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.