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Finding the Fourth Proportional to 1,822.65, 2,734.25 and 589.65

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Solution

The fourth proportional to 1,822.65, 2,734.25 and 589.65 is: 884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.65 : 2,734.25 = 589.65 : x
  2. Step 2: Convert to fraction form
    1,822.65/2,734.25 = 589.65/x
  3. Step 3: Cross multiply
    1,822.65x = 2,734.25 × 589.65
  4. Step 4: Simplify right side
    1,822.65x = 1,612,250.51
  5. Step 5: Solve for x
    x = 1,612,250.51/1,822.65
  6. Step 6: Final answer
    x = 884.56

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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.