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Finding the Fourth Proportional to 2,546.48, 3,820.16 and 815

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Solution

The fourth proportional to 2,546.48, 3,820.16 and 815 is: 1,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.48 : 3,820.16 = 815 : x
  2. Step 2: Convert to fraction form
    2,546.48/3,820.16 = 815/x
  3. Step 3: Cross multiply
    2,546.48x = 3,820.16 × 815
  4. Step 4: Simplify right side
    2,546.48x = 3,113,430.40
  5. Step 5: Solve for x
    x = 3,113,430.40/2,546.48
  6. Step 6: Final answer
    x = 1,222.64

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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.