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Finding the Fourth Proportional to 1,684.52, 2,523.42 and 816.20

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Solution

The fourth proportional to 1,684.52, 2,523.42 and 816.20 is: 1,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.52 : 2,523.42 = 816.20 : x
  2. Step 2: Convert to fraction form
    1,684.52/2,523.42 = 816.20/x
  3. Step 3: Cross multiply
    1,684.52x = 2,523.42 × 816.20
  4. Step 4: Simplify right side
    1,684.52x = 2,059,615.40
  5. Step 5: Solve for x
    x = 2,059,615.40/1,684.52
  6. Step 6: Final answer
    x = 1,222.67

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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.