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Finding the Fourth Proportional to 1,822.35, 2,732.67 and 589.44

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Solution

The fourth proportional to 1,822.35, 2,732.67 and 589.44 is: 883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.35 : 2,732.67 = 589.44 : x
  2. Step 2: Convert to fraction form
    1,822.35/2,732.67 = 589.44/x
  3. Step 3: Cross multiply
    1,822.35x = 2,732.67 × 589.44
  4. Step 4: Simplify right side
    1,822.35x = 1,610,745.00
  5. Step 5: Solve for x
    x = 1,610,745.00/1,822.35
  6. Step 6: Final answer
    x = 883.88

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1.5x scale

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.