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Finding the Fourth Proportional to 1,638.72, 2,454.80 and 814.46

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Solution

The fourth proportional to 1,638.72, 2,454.80 and 814.46 is: 1,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.72 : 2,454.80 = 814.46 : x
  2. Step 2: Convert to fraction form
    1,638.72/2,454.80 = 814.46/x
  3. Step 3: Cross multiply
    1,638.72x = 2,454.80 × 814.46
  4. Step 4: Simplify right side
    1,638.72x = 1,999,320.06
  5. Step 5: Solve for x
    x = 1,999,320.06/1,638.72
  6. Step 6: Final answer
    x = 1,220.05

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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.