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Finding the Fourth Proportional to 1,821.78, 2,732.58 and 589.05

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Solution

The fourth proportional to 1,821.78, 2,732.58 and 589.05 is: 883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.78 : 2,732.58 = 589.05 : x
  2. Step 2: Convert to fraction form
    1,821.78/2,732.58 = 589.05/x
  3. Step 3: Cross multiply
    1,821.78x = 2,732.58 × 589.05
  4. Step 4: Simplify right side
    1,821.78x = 1,609,626.25
  5. Step 5: Solve for x
    x = 1,609,626.25/1,821.78
  6. Step 6: Final answer
    x = 883.55

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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.