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Finding the Fourth Proportional to 1,638.40, 2,454.40 and 1,523.20

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Solution

The fourth proportional to 1,638.40, 2,454.40 and 1,523.20 is: 2,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.40 : 2,454.40 = 1,523.20 : x
  2. Step 2: Convert to fraction form
    1,638.40/2,454.40 = 1,523.20/x
  3. Step 3: Cross multiply
    1,638.40x = 2,454.40 × 1,523.20
  4. Step 4: Simplify right side
    1,638.40x = 3,738,542.08
  5. Step 5: Solve for x
    x = 3,738,542.08/1,638.40
  6. Step 6: Final answer
    x = 2,281.83

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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.