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Finding the Fourth Proportional to 1,822.35, 2,733.35 and 589.41

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Solution

The fourth proportional to 1,822.35, 2,733.35 and 589.41 is: 884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.35 : 2,733.35 = 589.41 : x
  2. Step 2: Convert to fraction form
    1,822.35/2,733.35 = 589.41/x
  3. Step 3: Cross multiply
    1,822.35x = 2,733.35 × 589.41
  4. Step 4: Simplify right side
    1,822.35x = 1,611,060.88
  5. Step 5: Solve for x
    x = 1,611,060.88/1,822.35
  6. Step 6: Final answer
    x = 884.06

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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.