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Finding the Fourth Proportional to 2,109.53, 3,164.27 and 549.54

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Solution

The fourth proportional to 2,109.53, 3,164.27 and 549.54 is: 824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.53 : 3,164.27 = 549.54 : x
  2. Step 2: Convert to fraction form
    2,109.53/3,164.27 = 549.54/x
  3. Step 3: Cross multiply
    2,109.53x = 3,164.27 × 549.54
  4. Step 4: Simplify right side
    2,109.53x = 1,738,890.19
  5. Step 5: Solve for x
    x = 1,738,890.19/2,109.53
  6. Step 6: Final answer
    x = 824.30

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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.