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Finding the Fourth Proportional to 2,546.84, 3,820.32 and 815.48

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Solution

The fourth proportional to 2,546.84, 3,820.32 and 815.48 is: 1,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.84 : 3,820.32 = 815.48 : x
  2. Step 2: Convert to fraction form
    2,546.84/3,820.32 = 815.48/x
  3. Step 3: Cross multiply
    2,546.84x = 3,820.32 × 815.48
  4. Step 4: Simplify right side
    2,546.84x = 3,115,394.55
  5. Step 5: Solve for x
    x = 3,115,394.55/2,546.84
  6. Step 6: Final answer
    x = 1,223.24

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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.