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Finding the Fourth Proportional to 1,822.13, 2,732.61 and 589.24

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Solution

The fourth proportional to 1,822.13, 2,732.61 and 589.24 is: 883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.13 : 2,732.61 = 589.24 : x
  2. Step 2: Convert to fraction form
    1,822.13/2,732.61 = 589.24/x
  3. Step 3: Cross multiply
    1,822.13x = 2,732.61 × 589.24
  4. Step 4: Simplify right side
    1,822.13x = 1,610,149.45
  5. Step 5: Solve for x
    x = 1,610,149.45/1,822.13
  6. Step 6: Final answer
    x = 883.67

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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.